Squares, cubes and higher powers are shown as small digits called indices. The opposite of squaring and cubing are called square root and cube root. There are more rules we can use with indices.

Part of

The opposite of squaring a number is called finding the **square root**.

The symbol for the square root is .

The square root of is (because ).

The square root of is (because ).

The square root of is (because ).

- Question
What is the square root of ?

, so is the square root of .

The symbol means square root, so:

means 'the square root of '.

means 'the square root of '.

You will also find a square root key on your calculator.

The opposite of cubing a number is called finding the **cube root**.

The symbol for the cube root is .

The cube root of is (because ).

The cube root of is (because ).

- Question
What is the cube root of ?

, so is the cube root of .

The symbol means cube root, so:

, means 'the cube root of .

means 'the cube root of .