definitionexample square root - a number that produces a specified quantity when multiplied by...
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![Page 1: DefinitionExample Square root - a number that produces a specified quantity when multiplied by itself. The square root of 25 is 5, since 5 x 5 = 25. Perfect](https://reader036.vdocument.in/reader036/viewer/2022062305/5697c02e1a28abf838cda472/html5/thumbnails/1.jpg)
11.1 Square RootsDefinition Example
Square root - a number that produces a specified quantity when multiplied by itself.
The square root of 25 is 5, since 5 x 5 = 25.
Perfect square or Square number – A number that is the square of an integer.
9 is a perfect square because 9 = 32
Radical expression – An expression involving a radical sign.
36CopyInto
Notes
![Page 2: DefinitionExample Square root - a number that produces a specified quantity when multiplied by itself. The square root of 25 is 5, since 5 x 5 = 25. Perfect](https://reader036.vdocument.in/reader036/viewer/2022062305/5697c02e1a28abf838cda472/html5/thumbnails/2.jpg)
So, the square root of 25 is 5.
We write it:
Finding Square RootsSquare Root – A number which, when multiplied
by itself, results in another number.
52 =
25 5
25
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Perfect SquaresPerfect square – A number that is a square of a whole number.
Can be represented by arranging objects in a square.
You need to memorize the first 15 perfect squares.
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Perfect SquaresLets find them…
Squared Perfect Square
Square Root
12 = 1 √1=1
22=
32 =
42 =
52 =
62 =
82 =72 =
4
9
16
25
36
6449
√4=2
√49=7
√64=8
√36=6
√25=5
√9=3
√16=4
Squared Perfect Square
Square Root
92 = 81 √81=9
102 =
112 =
122 =
132 =
142 =
152 =
100
121
144
169
196
225
√100=10
√225=15
√196=14
√169=13
√121=11
√144=16
Write this down!
![Page 5: DefinitionExample Square root - a number that produces a specified quantity when multiplied by itself. The square root of 25 is 5, since 5 x 5 = 25. Perfect](https://reader036.vdocument.in/reader036/viewer/2022062305/5697c02e1a28abf838cda472/html5/thumbnails/5.jpg)
Square Roots
81
169
37
![Page 6: DefinitionExample Square root - a number that produces a specified quantity when multiplied by itself. The square root of 25 is 5, since 5 x 5 = 25. Perfect](https://reader036.vdocument.in/reader036/viewer/2022062305/5697c02e1a28abf838cda472/html5/thumbnails/6.jpg)
Estimating Square Roots.
Since 37 is not a perfect square, we have to use another method to calculate it’s square root.
Most numbers are NOT perfect squares and their solutions are not whole numbers.
37
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Find the two square roots of the number.
1) 49
2) 121
3) 3600
![Page 8: DefinitionExample Square root - a number that produces a specified quantity when multiplied by itself. The square root of 25 is 5, since 5 x 5 = 25. Perfect](https://reader036.vdocument.in/reader036/viewer/2022062305/5697c02e1a28abf838cda472/html5/thumbnails/8.jpg)
Evaluate the square root.
4) .
5) .
6) .
900
196
16
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Find the side length of the square with the given area.
7) .
8) .
A 4m2
A 256cm2
![Page 10: DefinitionExample Square root - a number that produces a specified quantity when multiplied by itself. The square root of 25 is 5, since 5 x 5 = 25. Perfect](https://reader036.vdocument.in/reader036/viewer/2022062305/5697c02e1a28abf838cda472/html5/thumbnails/10.jpg)
Evaluate the expression when x=2, y=5, and z=-1
9) .
10).
16z
x 2 y 2 20
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Solve the equation.
11) .
12).
3b2 75
15 d2 96