9-1 Square Roots

Find the square root for each.

1.) 25 2.) 49

The square root sign is also called a radical. The radical sign represents a nonnegative value.

3.) - 121 4.) - 400

When the negative sign is in front of the radical we are looking for the negative square root.

If there is not a radical in the problem there are two square roots for each perfect square.

Find the square root of each number.

1.) 144 2.) 256

Perfect Square - a number that has an integer as a square root.

List the first 15 Perfect Squares

You can use the perfect squares to approximate other square roots. Approximate the square root to the nearest integer.

1.) 27 2.) 115

Evaluate when a = 12 and b = 4.

1.) 2.)

3.)

Solve each equation. Remember if there is not a radical in the problem there are two answers.

1.) x2 = 64 2.) n2 = 196

3.) 2x2 = 32 4.) 5d2 5 = 120

Find the square root for each.

1.) 144 2.) - 225

Find the square root for each.

3.) 900 4.) 49

Approximate the square root to the nearest integer.

5.) 39

6.) 54

Solve each equation.

7.) x2 = 324 8.) 3q2 = 108

Cubes

Review:

23Two ways to say this:2 to the third power2 cubed

Simplify:

23 = 33 =

43 = 53 =

63 = 73 =

83 = 93 =

103 =

Cubed roots

Finding a the cubed root of a number is the opposite of cubing a number.

Ex.= 2 (because 2 2 2 =8)

Simplify:

1.) 2.)

3.) 4.)

5.) 6.)