1. CCGPS Geometry (12-5-13) UNIT QUESTION: In what ways can algebraic methods be used in problems solving? Standard: MCC9-12.N.RN.1-3, N.CN.1-3, A.APR.1 Today’s Question: How do we simplify square roots with numbers and variables? Standard: MCC9-12.N.RN.1

2. Square Roots and Simplifying Radicals

3. Prime Numbers 1 2 3 5 7 11 13…

4. Numbers or variables under the radical sign

5. 1. No perfect square factors other than 1 are under the radical. 2. No fractions are under the radical. 3. No radicals are in the denominator.

6. Factor Trees to Prime Factorization 45

7. Factor Trees to Prime Factorization 54

8. Factor Trees to Prime Factorization 98

9. When you have a pair, bring the number out. EX:1 Simplify.

10. When you have a pair, bring the number out. EX:2 Simplify

11. EX:3

12. EX:4 Simplify.

13. You try! 1. 2.3. 4.

14. Variables as Radicands Even Exponent – ODD Exponent – Take HALF out (nothing left under the radical) Leave ONE under the radical and take HALF of the rest out

19. Worksheet #1 – 23