Evaluate Square and Cube Roots in Context

Front

What is the definition of 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 16 is 4, since 4 x 4 = 16.

Front

What is the definition of 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, since 3 x 3 x 3 = 27.

Front

What is the square root of 0?

Back

The square root of 0 is 0, since 0 x 0 = 0.

Front

What is the cube root of -1?

Back

The cube root of -1 is -1, since (-1) x (-1) x (-1) = -1.

Front

What is the square root of 256?

Back

The square root of 256 is 16, since 16 x 16 = 256.

Front

What is the cube root of 8?

Back

The cube root of 8 is 2, since 2 x 2 x 2 = 8.

Front

If the area of a square is 81 cm², what is the side length?

Back

The side length of the square is 9 cm, since 9 x 9 = 81.

Front

What is the cube root of 1000?

Back

The cube root of 1000 is 10, since 10 x 10 x 10 = 1000.

Front

What is the relationship between square roots and perfect squares?

Back

A perfect square is a number that has an integer as its square root. For example, 16 is a perfect square because its square root is 4.

Front

What is the relationship between cube roots and perfect cubes?

Back

A perfect cube is a number that has an integer as its cube root. For example, 27 is a perfect cube because its cube root is 3.