1. Simplifying Radicals

2. Radical Flashback Simplifying Radicals: 1.Find the greatest perfect square that goes into the radicand. 2.Take the square root of the perfect square and keep the rest under the radical.

4. Variables with even exponents are perfect squares: Simplifying Square Roots with Variables

5. Simplifying Perfect Squares: Simplifying Square Roots with Variables Note: The index of a square root is 2; therefore we divide the exponent by 2

6. Simplifying Radicals that are NOT perfect squares Simplifying Square Roots with Variables Simplify the Variable: Note: The index of a square root is 2; therefore we divide the exponent by 2.

7. Simplifying Radicals that are NOT perfect squares Simplifying Square Roots with Variables Simplify the Variable: Divide the exponent by the index. The remainder stays under the radical.

8. Simplifying Square Roots with Variables Simplify the Variable: Divide the exponent by the index. The remainder stays under the radical.

9. Simplifying Square Roots with Variables Simplify the Variable: Divide the exponent by the index. The remainder stays under the radical.

10. Simplifying Square Roots with Variables Simplify the Variable: none Divide the exponent by the index. The remainder stays under the radical.

11. Simplifying Square Roots with Variables Simplify the Variable: none Divide the exponent by the index. The remainder stays under the radical.

12. Simplifying Square Roots with Variables Simplify the Variables: Divide the exponent by the index. The remainder stays under the radical.

13. Simplifying Square Roots with Variables Simplify the Variables: Divide the exponent by the index. The remainder stays under the radical.