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 36 is 6, because 6 x 6 = 36.

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 64 is 4, because 4 x 4 x 4 = 64.

Front

What is the square of 9?

Back

The square of 9 is 81, because 9 x 9 = 81.

Front

What is the cube of -9?

Back

The cube of -9 is -729, because (-9) x (-9) x (-9) = -729.

Front

Is 36 a perfect square?

Back

Yes, 36 is a perfect square because it can be expressed as 6 x 6.

Front

What is the area of a square with a side length of 5 cm?

Back

The area is 25 cm², calculated as side length squared: 5 x 5 = 25.

Front

True or False: The square of 7 is 49.

Back

True, because 7 x 7 = 49.

Front

What is the value of n if n² = 49?

Back

n = 7 or n = -7, since both 7 x 7 and (-7) x (-7) equal 49.

Front

What is the value of n if n³ = 27?

Back

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

Front

What is the relationship between squares and square roots?

Back

The square root of a number is the value that, when squared, returns the original number.