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 25 is 5, because 5 x 5 = 25.

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

If x^2 = 36, what are the possible values of x?

Back

x = 6 or x = -6.

Front

What is the square of 10?

Back

The square of 10 is 100, because 10 x 10 = 100.

Front

What is the cube of 3?

Back

The cube of 3 is 27, because 3 x 3 x 3 = 27.

Front

How do you find the square root of a number?

Back

To find the square root of a number, you can use a calculator or estimate by finding two perfect squares it lies between.

Front

What is the relationship between squares and square roots?

Back

The square root undoes the squaring process. If you square a number and then take the square root, you return to the original number.

Front

If x^2 = 49, what is x?

Back

x = 7 or x = -7.

Front

What is the square root of 0?

Back

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

Front

What does it mean if a number has no real square root?

Back

It means the number is negative, as there is no real number that can be squared to produce a negative result.