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, √9 = 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, ∛27 = 3 because 3 x 3 x 3 = 27.

Front

Between what two integers would you find the value of √150?

Back

12 and 13.

Front

Solve for p when p² = 100.

Back

p = 10.

Front

Solve for x when x³ = 1/8.

Back

x = 1/2.

Front

Solve for x when x³ = 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 V = s³.

Front

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

Back

Each side is 6 feet.

Front

What is the relationship between squares and square roots?

Back

The square root of a number is the inverse operation of squaring that number.

Front

What is the relationship between cubes and cube roots?

Back

The cube root of a number is the inverse operation of cubing that number.