1. Square Roots and Simplifying Radicals

2. Radical Sign (square root sign)
Radicand
Numbers or variables under the radical sign

3. Prime Numbers …

4. Radicals are in SIMPLEST form when:
1. No perfect square factors other than 1 are under the radical.
No fractions are under the radical.
No radicals are in the denominator.

5. You’ll need to know how to prime factor to simplify square roots.
If a radicand isn’t a perfect square, you’ll prime factor.
List some prime factors.

6. Factor Trees to Prime Factorization45

7. Factor Trees to Prime Factorization54

8. Factor Trees to Prime Factorization98

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

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

11. EX:3

12. EX:4 Simplify.

13. You try!

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

15. When you have a pair, bring that term out.
EX:9 VARIABLES
When you have a pair, bring that term out.

16. When you have a pair, bring that term out.
EX:10 VARIABLES
When you have a pair, bring that term out.

17. When you have a pair, bring that term out.
Prime Factor
EX:11 VARIABLES 2 18 3 9 3
When you have a pair, bring that term out.

18. Classwork: Finish back of sheet Homework: Stupid Puzzle