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 64 is 8, since 8 x 8 = 64.

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 216 is 6, since 6 x 6 x 6 = 216.

Front

What is the square root of 64?

Back

The square root of 64 is 8.

Front

What is the cube root of 1000?

Back

The cube root of 1000 is 10.

Front

What is the relationship between squaring and square roots?

Back

Squaring a number is the process of multiplying the number by itself, while taking the square root is finding a number that, when squared, gives the original number.

Front

What is the relationship between cubing and cube roots?

Back

Cubing a number is the process of multiplying the number by itself twice (three times total), while taking the cube root is finding a number that, when cubed, gives the original number.

Front

What is the cube root of -1000?

Back

The cube root of -1000 is -10.

Front

Can a negative number have a real cube root?

Back

Yes, negative numbers can have real cube roots. For example, the cube root of -8 is -2.

Front

What is the square root of a negative number?

Back

The square root of a negative number is not a real number; it is an imaginary number. For example, the square root of -1 is represented as 'i'.

Front

What is the formula for finding the square root of a number?

Back

The square root of a number 'x' is represented as √x.