Cube Roots

Cube Roots

GCSE(F),

To find a cube root of a number, find a number which, when three versions of itself are multiplied together, gives you the original number. Finding a cube root is the inverse (opposite) operation to cubing a number.

The symbol used to show a cube root is `root(3) ` , which is a square root sign but with a small 3 preceding it.

`root(3)27 = 3`, as three multiplied by itself three times gives 27.

A cube root of a negative number gives a negative number: `root(3)-8` = -2, as -2 x -2 x -2 = -8.

Examples

1. `root(3)1000`

Answer: 10

10 x 10 x 10 = 1000

2. Calculate `root(3)0.008`

Answer: 0.2

0.2 x 0.2 x 0.2 = 0.008.