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## The Cube Root

The cube root is the reverse operation of cubing a number.

### Example

23 = 8,  so 2 is a cube root of 8.

(-2)3 = -8,  so -2 is a cube root of -8.

 3 =   , so  is a cube root of . 3 =  , so  is a cube root of .

As you can see, all numbers have a unique cube root.

The cube root of a positive number b is denoted by or (See nth root for more on fractional notation) and the cube root of a negative number -b is .

The graph of x3 is shown below. From the graph we can clearly see that each positive number will have a positive cube root, and each negative number will have a negative cube root. Now try a few on your own.

### Exercise

If the cube root of b is an integer, display it in the box provided; otherwise type NI for "not integer".

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