1. Quadratic Equation U n i t Simplifying Radicals Medina 1

2. Simplifying R a d i c a l Radical: Radicand: Index: Medina 2 64 The number inside the radical symbol Identifies the root of the radical symbol ²

3. Simplifying R a d i c a l Medina 3 ³ Square RootCube Root 8 The number being multiplied to itself to get the radicand The number being multiplied to itself 3 times to get the radicand 4 Ask yourself, what times it self equals 64? Ask yourself, what number times itself 3 times equals 64?

4. Simplifying R a d i c a l Positive Root Negative Root: Positive & Negative Roots: Non Real Root: Medina 4 8 -8 ± 8

5. Simplifying Non -Perfect Square Radicals Medina 5 Rule 1: There are NO perfect squares underneath the radical symbol. Rule 2: Rule 3: There are NO radicals in the denominator. There are NO negatives underneath a square root.

6. Simplifying Radicals 1 st Method : Ask yourself, what are the factors of 8? Think of biggest perfect square that’s a factor of 8: 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225,..., 625 Any number(s) that does not have a square root stays in the radical.

7. Simplifying Radicals 1 st Method : Ask yourself, what are the factors of 18? Think of biggest perfect square that’s a factor of 18: 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225,..., 625 Or when in doubt, prime factor out.

8. Simplifying Radicals 1 st Method :Ask yourself, what are the factors of 54? Think of biggest perfect square that’s a factor of 54: 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225,..., 625 Or when in doubt, prime factor out.

9. Simplifying R a d i c a l Medina9 https://www.youtube.com/watch?v=ONx4l5l1UNg

10. Simplifying R a d i c a l Medina 10

11. R a d i c a l U n i t Medina 11 12

12. Simplifying Radicals Medina 12

13. Simplifying Radicals Medina 13

14. Simplifying Radicals Medina 14