Square and Cube Roots

Front

What is a square root?

Back

A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 x 3 = 9.

Front

What is a cube root?

Back

A cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3, because 3 x 3 x 3 = 27.

Front

Identify the cube roots of -125.

Back

-5 (since (-5) x (-5) x (-5) = -125)

Front

Solve for x when x^3 = 125.

Back

x = 5

Front

What is the volume of a cube with side length s?

Back

The volume V of a cube is given by the formula V = s^3, where s is the length of one side.

Front

If the volume of a cube is 216 ft³, what is the length of each side?

Back

6 feet (since 6 x 6 x 6 = 216)

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 16 is a perfect square because 4 x 4 = 16.

Front

What is a perfect cube?

Back

A perfect cube is a number that can be expressed as the cube of an integer. For example, 27 is a perfect cube because 3 x 3 x 3 = 27.

Front

Which number is both a perfect square and a perfect cube?

Back

64 (since 8 x 8 = 64 and 4 x 4 x 4 = 64)

Front

What is the square root of 64?

Back

8 (since 8 x 8 = 64)