1. Essential Question: How do we simplify radicals?

2. Simplifying Radicals

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

4. Simplify
= 2
= 4
= 5
This is a piece of cake!
= 10
= 12

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

6. Simplify = = = = = = = = = = Perfect Square Factor * Other Factor
LEAVE IN RADICAL FORM = = = = = =

7. Essential Question: How do we add & subtract radicals?

8. + To combine radicals: combine the coefficients of like radicals
Combining Radicals +
To combine radicals: combine the coefficients of like radicals

9. Simplify each expression

10. Simplify each expression: Simplify each radical first and then combine.

11. Simplify each expression: Simplify each radical first and then combine.

12. Simplify = = = = = = = = = = Perfect Square Factor * Other Factor
LEAVE IN RADICAL FORM = = = = = =

13. Simplify each expression

14. Simplify each expression

15. Essential Question: How do we multiply radicals?

16. Multiplying Radicals *
To multiply radicals: multiply the coefficients and then multiply the radicands and then simplify the remaining radicals.

17. Multiply and then simplify