Radicals Tammy Wallace Varina High Perfect Squares A

Radicals Tammy Wallace Varina High

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 1 x 1 = PERFECT SQUARE S 1 4 NUMBER MULTIPLIED BY ITSELF 7 x 7 = PERFECT SQUARE S 49 2 x 2 = 9 8 X 8 = 64 81 3 x 3 = 16 9 X 9 = 100 4 x 4 = 25 10 x 10 = 5 x 5 = 6 x 6 = 36 11 x 11 = 12 x 12 = 121 144

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

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

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

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

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

Non-Perfect Radicals •

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: NUMBER MULTIPLIED BY ITSELF 3 TIMES 1 x 1 = 2 x 2 = 3 x 3 = 4 x 4 = 5 x 5 = PERFECT CUBES 1 The first 3 perfect cube variables. VARIABLES MULTIPLIED BY ITSELF 3 TIMES PERFECT CUBES 8 27 64 125 A variable is a perfect cube if it is divisible by 3.

Cube Roots • 8 2 find the nubmer that multiplies by itself three times to give you the number inside.

Simplifying the following Radical Expressions • 5 3

• Non-Perfect Cubes 27 2

• Non-Perfect Cubes 27 2