square roots. this isn’t exactly true, but for the next 3 weeks: “radical” means the same...
TRANSCRIPT
![Page 1: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/1.jpg)
SQUARE ROOTS
![Page 2: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/2.jpg)
This isn’t exactly true, but for the next 3 weeks:
“Radical” means the same thing as “square
root”
*Side Note:
![Page 3: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/3.jpg)
What is a square root?
![Page 4: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/4.jpg)
What is a square root?
A square root is a way of asking:“What number, times itself gives this value?”
![Page 5: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/5.jpg)
What is a square root?
A square root is a way of asking:“What number, times itself gives this value?”
25 “What number times itself is 25?”
![Page 6: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/6.jpg)
What is a square root?
A square root is a way of asking:“What number, times itself gives this value?”
25 “What number times itself is 25?”
525 “5 times 5 is 25.”
![Page 7: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/7.jpg)
25 “What number times itself is 25?”
525 “5 times 5 is 25.”
* This is called “taking the square root.”* Notice, after we have taken the square root, the symbol is gone.
![Page 8: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/8.jpg)
14436
12125
10016
819
644
491
These are the numbers that have a “nice” answer when we take a square root:
![Page 9: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/9.jpg)
14436
12125
10016
819
644
491 1 What number times itself is 1?
These are the numbers that have a “nice” answer when we take a square root:
![Page 10: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/10.jpg)
14436
12125
10016
819
644
491 1
2 What number times itself is 4?
These are the numbers that have a “nice” answer when we take a square root:
![Page 11: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/11.jpg)
14436
12125
10016
819
644
491 1
2
3 What number times itself is 9?
These are the numbers that have a “nice” answer when we take a square root:
![Page 12: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/12.jpg)
14436
12125
10016
819
644
491 1
2
3
4 What number times itself is 16?
These are the numbers that have a “nice” answer when we take a square root:
![Page 13: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/13.jpg)
14436
12125
10016
819
644
491 1
2
3
4
5 What number times itself is 25?
These are the numbers that have a “nice” answer when we take a square root:
![Page 14: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/14.jpg)
These are the numbers that have a “nice” answer when we take a square root:
14436
12125
10016
819
644
491 1
2
3
4
5
6 What number times itself is 36?
These are the numbers that have a “nice” answer when we take a square root:
![Page 15: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/15.jpg)
These are the numbers that have a “nice” answer when we take a square root:
14436
12125
10016
819
644
491 1
2
3
4
5
6
7
8
9
10
11
12
![Page 16: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/16.jpg)
Since these numbers give nice answers, we call them perfect squares.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
![Page 17: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/17.jpg)
Since these numbers give nice answers, we call them perfect squares.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
![Page 18: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/18.jpg)
Since these numbers give nice answers, we call them perfect squares.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
You will have to know these numbers.
![Page 19: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/19.jpg)
Since these numbers give nice answers, we call them perfect squares.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
You will have to know these numbers.Do I have to memorize
them?
![Page 20: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/20.jpg)
Since these numbers give nice answers, we call them perfect squares.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
You will have to know these numbers.Do I have to memorize
them?
You can, but…It is probably easier to just remember how we
get them:
![Page 21: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/21.jpg)
Since these numbers give nice answers, we call them perfect squares.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
You will have to know these numbers.Do I have to memorize
them?
You can, but…It is probably easier to just remember how we
get them:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144
12 22 32 42 52 62 72 82 92 102 112
122
Just square the numbers 1-12.
![Page 22: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/22.jpg)
So, if you have a problem that looks like this:
?16
![Page 23: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/23.jpg)
So, if you have a problem that looks like this:
?16
Just write the number that answers the question:
![Page 24: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/24.jpg)
So, if you have a problem that looks like this:
?16
Just write the number that answers the question:“What number times itself is 16?”
![Page 25: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/25.jpg)
So, if you have a problem that looks like this:
?16
Just write the number that answers the question:“What number times itself is 16?”
4
![Page 26: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/26.jpg)
The hard part is when the answer is not obvious:
20
![Page 27: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/27.jpg)
The hard part is when the answer is not obvious:
20
No nice number times itself is 20.
![Page 28: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/28.jpg)
The hard part is when the answer is not obvious:
20
No nice number times itself is 20.
There are two options for how to find the square root of 20.
![Page 29: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/29.jpg)
The hard part is when the answer is not obvious:
20
No nice number times itself is 20.
Option 1 Get an approximate answer (decimal) You just type it in the calculator.
(easy)
There are two options for how to find the square root of 20.
![Page 30: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/30.jpg)
The hard part is when the answer is not obvious:
20
No nice number times itself is 20.
Option 1 Get an approximate answer (decimal) You just type it in the calculator.
(easy)
Option 2 The exact answer. This is like reducing a fraction (hard)
There are two options for how to find the square root of 20.
![Page 31: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/31.jpg)
The hard part is when the answer is not obvious:
20
No nice number times itself is 20.
Option 1 Get an approximate answer (decimal) You just type it in the calculator.
(easy)
Option 2 The exact answer. This is like reducing a fraction (hard)
There are two options for how to find the square root of 20.
You will have to be able to do BOTH.
![Page 32: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/32.jpg)
Option 1 Get an approximate answer (decimal) You just type it in the calculator.
(easy)
20
![Page 33: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/33.jpg)
Option 1 Get an approximate answer (decimal) You just type it in the calculator.
(easy)
20
Use the square root button here to just type it
in the calculator.
20
![Page 34: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/34.jpg)
Option 1 Get an approximate answer (decimal) You just type it in the calculator.
(easy)
20
Use the square root button here to just type it
in the calculator.
Did you get 400?
Make sure to hit the “ctrl” key first!
20
![Page 35: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/35.jpg)
Option 1 Get an approximate answer (decimal) You just type it in the calculator.
(easy)
20
Use the square root button here to just type it
in the calculator.
2047213595.4
Did you get 400?
Make sure to hit the “ctrl” key first!
![Page 36: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/36.jpg)
Option 1 Get an approximate answer (decimal) You just type it in the calculator.
(easy)
2020
47213595.4
This isn’t the best answer, because the
calculator had to round the answer.
![Page 37: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/37.jpg)
Option 1 Get an approximate answer (decimal) You just type it in the calculator.
(easy)
2020
47213595.4
This isn’t the best answer, because the
calculator had to round the answer.
That’s why we call it “approximate”
![Page 38: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/38.jpg)
Option 2 Get an EXACT answer
20
A square root is a lot like a fraction.
There are many different ways to write the same number.
![Page 39: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/39.jpg)
Option 2 Get an EXACT answer
20
A square root is a lot like a fraction.
There are many different ways to write the same number.
For example:
![Page 40: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/40.jpg)
Option 2 Get an EXACT answer
20
A square root is a lot like a fraction.
There are many different ways to write the same number.
For example:
2
1
4
2
6
3
000,12
000,6
150
75
100
50
20
10
![Page 41: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/41.jpg)
Option 2 Get an EXACT answer
20
For example:
2
1
4
2
6
3
000,12
000,6
150
75
100
50
20
10
2105452
![Page 42: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/42.jpg)
Option 2 Get an EXACT answer
20
For example:
2
1
4
2
6
3
000,12
000,6
150
75
100
50
20
10
2105452
Just like with fractions, all these are the same thing. But they are not reduced.
![Page 43: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/43.jpg)
Option 2 Get an EXACT answer
20
For example:
2
1
4
2
6
3
000,12
000,6
150
75
100
50
20
10
2105452
Like fractions, there is a BEST ANSWERWe call it a reduced radical
![Page 44: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/44.jpg)
Option 2 Get an EXACT answer
20
![Page 45: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/45.jpg)
Option 2 Get an EXACT answer
20
You learned how to reduce the radical in algebra 1
![Page 46: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/46.jpg)
Option 2 Get an EXACT answer
20
You learned how to reduce the radical in algebra 1There are two good ways:
![Page 47: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/47.jpg)
Option 2 Get an EXACT answer
20
You learned how to reduce the radical in algebra 1There are two good ways:
Method 1 the factor tree (this is easy, but takes a long time)https://www.youtube.com/watch?v=jC5-2FOCXGg
Method 2 using perfect squares. (Faster, but not as easy to remember) https://www.youtube.com/watch?v=sOmnOQn5HsU
![Page 48: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/48.jpg)
Option 2 Get an EXACT answer
20
You learned how to reduce the radical in algebra 1There are two good ways:
Method 1 the factor tree (this is easy, but takes a long time)https://www.youtube.com/watch?v=jC5-2FOCXGg
Method 2 using perfect squares. (Faster, but not as easy to remember) https://www.youtube.com/watch?v=sOmnOQn5HsU
Watch one or both of the videos
![Page 49: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/49.jpg)
Option 2 Get an EXACT answer
20
You learned how to reduce the radical in algebra 1There are two good ways:
Method 1 the factor tree (this is easy, but takes a long time)https://www.youtube.com/watch?v=jC5-2FOCXGg
Method 2 using perfect squares. (Faster, but not as easy to remember) https://www.youtube.com/watch?v=sOmnOQn5HsU
I don’t get it! And I hate that guy in
the video. What do I do?
![Page 50: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/50.jpg)
Option 2 Get an EXACT answer
20
You learned how to reduce the radical in algebra 1There are two good ways:
Method 1 the factor tree (this is easy, but takes a long time)https://www.youtube.com/watch?v=jC5-2FOCXGg
Method 2 using perfect squares. (Faster, but not as easy to remember) https://www.youtube.com/watch?v=sOmnOQn5HsU
I don’t get it! And I hate that guy in
the video. What do I do?
A) Ask Mr. B for help .B) Type “simplify square
roots” into youtube.15,000 hits!
![Page 51: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/51.jpg)
#1 on your worksheet
20
Here is how to do it
![Page 52: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/52.jpg)
#1 on your worksheet
20 20
Here is how to do it
![Page 53: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/53.jpg)
#1 on your worksheet
20 20
102
Here is how to do it
![Page 54: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/54.jpg)
#1 on your worksheet
20 20
102
5 2
Here is how to do it
![Page 55: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/55.jpg)
#1 on your worksheet
20 20
102
5 2
522
Here is how to do it
![Page 56: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/56.jpg)
#1 on your worksheet
20 20
102
5 2
522
Here is how to do it
![Page 57: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/57.jpg)
#1 on your worksheet
20 20
102
5 2
522
52
Here is how to do it
![Page 58: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/58.jpg)
Or do it this way:
![Page 59: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/59.jpg)
#1 on your worksheet
20
![Page 60: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/60.jpg)
#1 on your worksheet
20
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144Perfect squares:
![Page 61: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/61.jpg)
#1 on your worksheet
20
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144Perfect squares:
Find the biggest perfect square you can divide 20
by and NOT get a decimal
![Page 62: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/62.jpg)
#1 on your worksheet
20
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144Perfect squares:
Find the biggest perfect square you can divide 20
by and NOT get a decimalIt’s 4
![Page 63: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/63.jpg)
#1 on your worksheet
20
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144Perfect squares:
Find the biggest perfect square you can divide 20
by and NOT get a decimalIt’s 4
Rewrite the square root using the perfect square
times a number
![Page 64: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/64.jpg)
#1 on your worksheet
20
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144Perfect squares:
Find the biggest perfect square you can divide 20
by and NOT get a decimalIt’s 4
Rewrite the square root using the perfect square
times a number
54
![Page 65: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/65.jpg)
#1 on your worksheet
20
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144Perfect squares:
Find the biggest perfect square you can divide 20
by and NOT get a decimalIt’s 4
Rewrite the square root using the perfect square
times a number
Take the square root of the perfect square.
54
![Page 66: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/66.jpg)
#1 on your worksheet
20
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144Perfect squares:
Find the biggest perfect square you can divide 20
by and NOT get a decimalIt’s 4
Rewrite the square root using the perfect square
times a number
Take the square root of the perfect square.
54
52
![Page 67: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/67.jpg)
#1 on your worksheet
20
DONE
54
52
![Page 68: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/68.jpg)
You should now be able to do problems 1-12U
se e
ither
meth
od
20
![Page 69: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/69.jpg)
Other side of your paper(multiplying square roots)
![Page 70: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/70.jpg)
![Page 71: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/71.jpg)
Part 2 Multiplying square roots
![Page 72: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/72.jpg)
Part 2 Multiplying square roots
When we multiply two square roots
![Page 73: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/73.jpg)
Part 2 Multiplying square roots
When we multiply two square roots
Multiply the numbers in the square root102
![Page 74: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/74.jpg)
Part 2 Multiplying square roots
When we multiply two square roots
Multiply the numbers in the square root102
20
![Page 75: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/75.jpg)
Part 2 Multiplying square roots
102
20
![Page 76: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/76.jpg)
Part 2 Multiplying square roots
102
20Then, we have to see if this square root can be
reduced
![Page 77: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/77.jpg)
Part 2 Multiplying square roots
102
20(this is just like #1)
![Page 78: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/78.jpg)
Part 2 Multiplying square roots
102
20(this is just like #1)
52
![Page 79: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/79.jpg)
Now, do problems 13-15
![Page 80: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/80.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
![Page 81: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/81.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first
![Page 82: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/82.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first15
![Page 83: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/83.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first15
![Page 84: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/84.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first15
Next, multiply the square roots
![Page 85: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/85.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first15
Next, multiply the square roots
![Page 86: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/86.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first15
Next, multiply the square roots
12
![Page 87: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/87.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first15
Next, multiply the square roots
12
Then, simplify the square root.
![Page 88: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/88.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first15
Next, multiply the square roots
12
Then, simplify the square root.
32
![Page 89: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/89.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first15
Next, multiply the square roots
12
Then, simplify the square root.
32
![Page 90: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/90.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first15
Next, multiply the square roots
12
Then, simplify the square root.
32
Bring back the regular number
![Page 91: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/91.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first15
Next, multiply the square roots
12
Then, simplify the square root.
32
Bring back the regular number
15
![Page 92: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/92.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first15
Next, multiply the square roots
12
Then, simplify the square root.
32
Bring back the regular number
15
Finally, re-multiply the regular numbers
![Page 93: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/93.jpg)
For this type of problem, we have regular numbers AND
square roots being multiplied
Multiply the regular numbers first15
Next, multiply the square roots
12
Then, simplify the square root.
32
Bring back the regular number
15
Finally, re-multiply the regular numbers
330
![Page 94: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/94.jpg)
Now, do problems 16-18
![Page 95: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/95.jpg)
![Page 96: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/96.jpg)
This is an easy one.
![Page 97: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/97.jpg)
This is an easy one.
“squared” means multiply be itself.
![Page 98: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/98.jpg)
This is an easy one.
“squared” means multiply be itself.
88
![Page 99: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/99.jpg)
This is an easy one.
“squared” means multiply be itself.
88
64
![Page 100: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/100.jpg)
This is an easy one.
“squared” means multiply be itself.
88
What number times itself is 64?64
![Page 101: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/101.jpg)
This is an easy one.
“squared” means multiply be itself.
88
What number times itself is 64?64
8
![Page 102: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/102.jpg)
This is an easy one.
“squared” means multiply be itself.
88
What number times itself is 64?64
8 There is a very simple pattern to these problems
![Page 103: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/103.jpg)
Do problems 19-21(Yes, they are very easy)
![Page 104: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/104.jpg)
This is just like the last one, but there is a regular number
too!
![Page 105: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/105.jpg)
2525
This is just like the last one, but there is a regular number
too!
Write it out
![Page 106: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/106.jpg)
2525
This is just like the last one, but there is a regular number
too!
2255
Write it out
![Page 107: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/107.jpg)
2525
This is just like the last one, but there is a regular number
too!
2255
Write it out
Multiply the regular numbers
![Page 108: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/108.jpg)
2525
This is just like the last one, but there is a regular number
too!
2255
25
Write it out
Multiply the regular numbers
![Page 109: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/109.jpg)
2525
This is just like the last one, but there is a regular number
too!
2255
25
Write it out
Multiply the regular numbers
Multiply the square roots
![Page 110: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/110.jpg)
2525
This is just like the last one, but there is a regular number
too!
2255
25 2
Write it out
Multiply the regular numbers
Multiply the square roots
![Page 111: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/111.jpg)
2525
This is just like the last one, but there is a regular number
too!
2255
25 2
50
Write it out
Multiply the regular numbers
Multiply the square roots
![Page 112: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/112.jpg)
Do problems 22-24(there is an easy pattern here, too.)
![Page 113: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/113.jpg)
![Page 114: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/114.jpg)
Rationalizing the denominator
2
6 This is BAD.
We are not allowed to have a square root in the denominator
(bottom of a fraction)
We will have problems that end like this, and we have to know how to fix ‘em
![Page 115: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/115.jpg)
How to get rid of a square root on the bottom of a fraction
You can’t leave “root 2” in the bottom of the fraction
What is “root 2” times “root 2”?
This is how you have to leave your answers
2
3
2
2
22
23
2
23
YOU DON’T NEED TO WRITE THIS, THIS IS JUST AN EXAMPLE
![Page 116: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/116.jpg)
5
7
5
5
11
2
3
5
5
57
2
2 22
2
3
3
3
35
2
82
2
2
28 24
5
105
5
5
510 52
1.
2.
3.
4.
5.
YOU DON’T NEED TO WRITE THESE, THEY ARE JUST EXAMPLES
Menu
![Page 117: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/117.jpg)
![Page 118: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/118.jpg)
To get rid of the square root on the bottom of a fraction…
![Page 119: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/119.jpg)
To get rid of the square root on the bottom of a fraction…
…Multiply the top and bottom of the fraction by the square root you are trying to get rid
of.
![Page 120: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/120.jpg)
To get rid of the square root on the bottom of a fraction…
…Multiply the top and bottom of the fraction by the square root you are trying to get rid
of.
2
2
![Page 121: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/121.jpg)
To get rid of the square root on the bottom of a fraction…
…Multiply the top and bottom of the fraction by the square root you are trying to get rid
of.
2
2
2
26
![Page 122: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/122.jpg)
To get rid of the square root on the bottom of a fraction…
…Multiply the top and bottom of the fraction by the square root you are trying to get rid
of.
2
2
2
26
Then reduce the regular numbers
![Page 123: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/123.jpg)
To get rid of the square root on the bottom of a fraction…
…Multiply the top and bottom of the fraction by the square root you are trying to get rid
of.
2
2
2
26
Then reduce the regular numbers
![Page 124: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/124.jpg)
To get rid of the square root on the bottom of a fraction…
…Multiply the top and bottom of the fraction by the square root you are trying to get rid
of.
2
2
2
26
Then reduce the regular numbers
23
![Page 125: SQUARE ROOTS. This isn’t exactly true, but for the next 3 weeks: “Radical” means the same thing as “square root” *Side Note:](https://reader038.vdocument.in/reader038/viewer/2022110101/56649ec85503460f94bd5ab4/html5/thumbnails/125.jpg)
Do problems 25-28