![Page 1: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/1.jpg)
High School Common Core
Number & QuantityThe Real Number System – Use properties of
rational and irrational numbers.
![Page 2: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/2.jpg)
Multiply & Divide Radicals
Name Date
Subject Period
Radical Property (Multiplication)
You can multiply numbers if they are both INSIDE the radicals.
a = a bb = ab
3 = 3 22 = 6
![Page 3: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/3.jpg)
-4 12
Ex1:
Multiply numbers on the OUTSIDE of the radical.
ExplainSimplify
Multiply numbers on the INSIDE of the radical.
Simplify Radical
2 5
-8
-8
60
4 15
-8 2 15
-16 15
![Page 4: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/4.jpg)
Simplify -3 5-3 15
9
9
75
25 3
9 5 3
45 3
![Page 5: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/5.jpg)
Simplify 6 32 – 2
-6
-6
64
8
-48
![Page 6: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/6.jpg)
Simplify 3 6 8
3
3
48
16 3
3 4 3
12 3
![Page 7: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/7.jpg)
Simplify -5 7 -4 3
20 21
![Page 8: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/8.jpg)
Simplify 5 6-2 3
-10
-10
18
9 2
-10 3 2
-30 2
![Page 9: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/9.jpg)
Simplify 5 7 20
7
7
100
10
70
![Page 10: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/10.jpg)
Radical Property (Division)
You can divide numbers if they are both INSIDE the radicals.
a=
b
a
b
15=
5
15
5= 3
![Page 11: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/11.jpg)
Ex2:
Divide numbers INSIDE radicals.
ExplainSimplify
Simplify Radicals
15 ÷ 5÷ 5
6
Divide numbers OUTSIDE radicals.
20
6 34
6 3 2
3 3
![Page 12: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/12.jpg)
Simplify 10 ÷ 2÷ 2
232
2 516
2 5 4
1 5
2÷2÷
2
![Page 13: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/13.jpg)
Simplify 27 ÷ 9÷ 9 9
3 1
3
![Page 14: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/14.jpg)
Simplify 32 -52
-5 162
-5 2
-20 2 2
2
4 2
-10 2
![Page 15: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/15.jpg)
Simplify 12 3
6
1
2
4
÷ 3÷ 3 6
6
2÷2÷
1 3
![Page 16: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/16.jpg)
Simplify 24 3
4
1
2
8
2 2
÷ 3÷ 3
![Page 17: High School Common Core Number Quantity The Real Number System Use properties of rational and irrational numbers](https://reader033.vdocument.in/reader033/viewer/2022060206/5a4d1b977f8b9ab0599c3f6b/html5/thumbnails/17.jpg)
Simplify 64 4
84
8 20
5
25
4 ÷4 ÷
2 5