Perfect Squares and Cubes Review

Perfect Squares and Cubes and their Roots

A perfect square is a value that is obtained by multiplying two equal integers.

• Check out the image for some examples of perfect squares.

Perfect Squares

Multiple Choice

Which number is perfect square?

• 124

• 144

• 158

• 164

Multiple Choice

16²

• 256

• 289

• 396

• 324

Multiple Choice

If $$x^2=9$$ , then $$x=$$   

• 3

• -3

• $$\pm$$  3

• 81

A perfect cube is a value that is obtained by multiply three equal integers.

For example:

• 5³ = 5 x 5 x 5 = 125​

Perfect Cubes

Multiple Choice

A cube has side lengths of 4 in. What is the volume?

• 16in³

• 64in³

• 64in²

• 64in

Multiple Choice

What is the value of $$7^3$$ ? 

• 733

• 19

• 21

• 343

The square root of a number indicates the value that should be multiplied by itself three times.

• Take a look at some square roots of perfect squares!

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Square Roots

Multiple Choice

√64=___

• + 6 only

• ± 6

• ± 8

• + 8 only

Multiple Choice

What is the positive square root of 9?

• 3

• 1

• 4

Fill in the Blank

What is the positive square root of $$\sqrt{121}$$ ? 

The cube root of a number indicates the value that should be multiplied by itself three times.

• Take a look at some square roots of perfect squares!

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Cube Roots

Multiple Choice

What is the $$\sqrt[3]{8}$$ ?

• 4

• 2

• -2

• -4

Multiple Choice

What is the cube root of $$\sqrt[3]{1000}$$ ?

• 10

• 100

• 500

• 20

Multiple Choice

What is the cube root of $$\sqrt[3]{27}$$ ?

• 9

• -9

• 3

• -3