1. High School Common Core Number & Quantity The Real Number System – Use properties of rational and irrational numbers.

2. Multiply & Divide Radicals Name Date Subject Period Radical Property ( Multiplication) You can multiply numbers if they are both INSIDE the radicals. a  = a  b b= ab 3  = 3  2 2= 6

3. -4 12 Ex1:  Multiply numbers on the OUTSIDE of the radical. Explain Simplify   Multiply numbers on the INSIDE of the radical.  Simplify Radical 2 5 -8 60 4 15 -8  2 15 -16 15

4. Simplify -3 5-3 15 9 9 75 25 3 9  5 3 45 3

5. Simplify 6 32 – 2 -6 64  8 -48

6. Simplify 3 6 8 3 3 48 16 3 3  4 3 12 3

7. Simplify -5 7 -4 3 20 21

8. Simplify 5 6-2 3 -10 18 9 2 -10  3 2 -30 2

9. Simplify 5 7 20 7 7 100  10 70

10. Radical Property ( Division) You can divide numbers if they are both INSIDE the radicals. a = b a b 15 = 5 5 = 3

11. Ex2:  Divide numbers INSIDE radicals. Explain Simplify   Simplify Radicals 15÷ 5 6  Divide numbers OUTSIDE radicals. 20 6 3 4 63 2 33 

12. Simplify 10÷ 2 2 32 2 5 16 25 4 15 2÷ 2

13. Simplify 27÷ 9 9 3 1 3 

14. Simplify 32 -5 2 16 2 -5 2 -202 2 2  4 2 -102

15. Simplify 12 3 6 1 2 4 ÷ 3 6 6 2÷ 1 3

16. Simplify 24 3 4 1 2 8 22 ÷ 3

17. Simplify 64 4 8 4 8 20  5 25 4 ÷ 2 5