1. Simplifying Radicals Algebra I Unit 1 D2

2. Perfect Squares 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 324 400 625 289

4. = = = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM

5. = = = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM

6. + To combine radicals: combine the coefficients of like radicals

7. Ex 4 Simplify each expression

8. Ex 5 Simplify each expression: (Simplify each radical first and then combine).

9. Ex 6 Simplify each expression: (Simplify each radical first and then combine).

10. = = = = = = = = = = Perfect Square Factor * Other Factor LEAVE IN RADICAL FORM

11. Ex 8 Simplify each expression

12. * To multiply radicals: multiply the coefficients and then multiply the radicands and then simplify the remaining radicals.

13. Ex 9 Multiply and then simplify

14. To divide radicals: divide the coefficients, divide the radicands if possible, and rationalize the denominator so that no radical remains in the denominator

15. Ex 10 Divide and then simplify

16. Simplify numerical part under radicand then pull out “pairs” of variables under radicand (divide exponent by 2, remainder stays under radicand)