1-4 and 1-5 cube roots and square roots

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, because 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, because 3 x 3 x 3 = 27.

Front

What is the square root of 64?

Back

8, because 8 x 8 = 64.

Front

What is the cube root of 125?

Back

5, because 5 x 5 x 5 = 125.

Front

If the area of a square is 100 square feet, what is the length of one side?

Back

10 feet, because the square root of 100 is 10.

Front

If the volume of a cube is 27 cubic feet, what is the length of one side?

Back

3 feet, because the cube root of 27 is 3.

Front

What is the formula to find the area of a square?

Back

Area = side length x side length or Area = side length².

Front

What is the formula to find the volume of a cube?

Back

Volume = side length x side length x side length or Volume = side length³.

Front

How do you determine if a number is a perfect square?

Back

A number is a perfect square if its square root is a whole number. For example, 16 is a perfect square because its square root is 4.

Front

How do you determine if a number is a perfect cube?

Back

A number is a perfect cube if its cube root is a whole number. For example, 27 is a perfect cube because its cube root is 3.