1. Radicals Tammy Wallace Varina High

2. Perfect Squares A number is a perfect square if it is the product of a number and itself. The first 12 perfect squares: NUMBER MULTIPLIED BY ITSELF PERFECT SQUARES 1 x 1 = 2 x 2 = 3 x 3 = 4 x 4 = 5 x 5 = 6 x 6 = NUMBER MULTIPLIED BY ITSELF PERFECT SQUARES 7 x 7 = 8 X 8 = 9 X 9 = 10 x 10 = 11 x 11 = 12 x 12 = 1 4 9 16 25 36 49 64 81 100 121 144

3. Perfect Squares A variable is a perfect square if its exponent is EVEN. The first 4 perfect squares variables: NUMBER MULTIPLIED BY ITSELF PERFECT SQUARES

4. Square Roots 9 3 find the number that multiplies by itself to give you the inside number.

5. Parts of a Radical An expression that contains a square root is called a radical. It can have three parts. Radicand: the value you are taking the ‘root’ of Coefficient: it is being multiplied by the radical. Index : tells you which root you are looking for; if there is not index, it is assumed to be 2.

6. Simplify When dealing with exponents, divide the exponent of the radicand by the index to get the exponent of the root.

7. Simplify If your radicand has more than one factor, take the root of each factor separately.

8. Non-Perfect Radicals

9. 46

10. 16 2

11. 96

15. Perfect Cubes A number is a perfect cube if it is the product of a number and itself three times. The first 5 perfect cubes:The first 3 perfect cube variables. NUMBER MULTIPLIED BY ITSELF 3 TIMES PERFECT CUBES 1 x 1 x 1 = 2 x 2 x 2 = 3 x 3 x 3 = 4 x 4 x 4 = 5 x 5 x 5 = VARIABLES MULTIPLIED BY ITSELF 3 TIMES PERFECT CUBES 1 8 27 64 125 A variable is a perfect cube if it is divisible by 3.

16. Cube Roots 8 2

17. Simplifying the following Radical Expressions 5 3

18. Non-Perfect Cubes 27 2