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Objectives The student will be able to: 1. simplify square and cube roots 2. simplify radical expressions. SOL: A.3 Designed by Skip Tyler

Vocabulary radical sign index radicand is the square root of 64. is the cube root of 64. In the expression , is the radical sign, 64 is the radicand and 2 (not shown) is the index. In the expression , 3 is the index.

If x2 = y then x is a square root of y If x2 = y then x is a square root of y. If x3 = y then x is a cube root of y. 1. Find 8 2. Find -0.2 3. Find 4 4. Find -2

3. Find the square root: 11, -11 4. Find the cube root: 3

What numbers are perfect squares? 1 • 1 = 1 2 • 2 = 4 3 • 3 = 9 4 • 4 = 16 5 • 5 = 25 6 • 6 = 36 49, 64, 81, 100, 121, 144, ...

What numbers are perfect cubes? 13 = 1 • 1 • 1 = 1 23 = 2 • 2 • 2 = 8 33 = 3 • 3 • 3 = 27 43 = 4 • 4 • 4 = 64 53 = 5 • 5 • 5 = 125 and so on and on and on…..

6. Use a calculator to find each square root 6. Use a calculator to find each square root. Round the decimal answer to the nearest hundredth. 6.82, -6.82

Find a perfect square that goes into 147. 1. Simplify Find a perfect square that goes into 147. Verify your solution with a calculator.

Find a perfect square that goes into 605. 2. Simplify Find a perfect square that goes into 605. Verify your solution with a calculator.

Simplify .

Find a perfect cube that goes into 54. 3. Simplify Find a perfect cube that goes into 54. Verify your solution with a calculator.

Find a perfect cube that goes into 54. 4. Simplify Find a perfect cube that goes into 54. Verify your solution with a calculator.

Simplify 25 . .