7.2 Multiplying and Dividing Radical Expressions copy

[Pages:13]Mul$plying and Dividing Radical Expressions

Mul$plying Radicals

Mul$ply and Simplify if possible:

1. 2 8 = 2 8 = 16 = 4

2. 3 -5 3 25 = 3 -5 25 = 3 -125 = 3 (-5)3 = -5

3. -2 8 = ? Since --2 is not a real number, the property does not apply

4. 3 12 = 312 = 36 = 6

5. 3 3 3 -9 = 3 3 (-9) = 3 -27 = 3 (-3)3 = -3

6. 4 -4 = ? 4

4

Since --4 is not a real number, the property does not apply

Simplify Radical Expressions

Let's Prac$ce

1. 50x4 = 2 25 x2 x2 = 5 x x 2 = 5x2 2 2. 3 18x4 = 3 18 x3 x = x 18x

3. 200a6b7 = 2 10 10 a2 a2 a2 b2 b2 b2 b =

10 a a a b b b 2b = 10a3b3 2b

4. 3 81x2 = 3 3 3 3 x2 = 33 x2

Mul$plying Radical Expressions

Let's Prac$ce

1. 3 7x3 2 21x3 y2 = 6 7 x3 21 x3 y2 = 6 147 x2 x2 x2 y2 = 6 x x x y 147 = 6x3y 147 2. 4 2x 5 6xy2 =20 2 x 6 x y2 = 20 12 x2 y2 =

20 3 4 x2 y2 = 20 2 x y 3 = 40xy 3

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