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 25 is 5 because 5 x 5 = 25.

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

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 it is 4 x 4.

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, 8 is a perfect cube because it is 2 x 2 x 2.

Front

Solve for p when p² = 100.

Back

p = 10 or p = -10.

Front

Which of these numbers is both a perfect square and a perfect cube? 64, 125, 225, 81.

Back

64 is both a perfect square (8 x 8) and a perfect cube (4 x 4 x 4).

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 = s³, 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

Each side is 6 feet, since 6 x 6 x 6 = 216.

Front

Which of these is not a perfect square? 144, 36, 121, 72.

Back

72 is not a perfect square.

Front

What is the square of -3?

Back

The square of -3 is 9, because (-3) x (-3) = 9.