Square Roots 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 16 is 4, because 4 x 4 = 16.

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

True or False: The square root of a number is always positive.

Back

False. The square root can be positive or negative, but the principal square root is defined as the non-negative root.

Front

If the area of a square is 25 square feet, what is the length of one side?

Back

5 feet, because the square root of 25 is 5.

Front

Estimate the square root of 30.

Back

Approximately 5.5, since 5 x 5 = 25 and 6 x 6 = 36.

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Back

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Front

True or False: The square of a negative number is positive.

Back

True. For example, (-3)² = 9.

Front

What is the square root of 49?

Back

7, because 7 x 7 = 49.

Front

Back