# Cube Root

How to solve the cube root of a number: 3 examples and their solutions.

## Example 1

### Example

Cube root [3 ], is the opposite operation of cube [ 3].

Square Root

### Solution

Change the number inside the radical sign, 27,
to a cube.
Think of a number whose square is 27.
3 is good because 33 = 27.
So 327 = 333.

Cancel the cube root and the cube.
Then 333 = 3.

Cube root and cube are the opposite operations:
just like square and square root.

So you can cancel the cube root and the cube like this.

## Example 2

### Solution

Change the number inside the radical sign, -8, to a cube.
Think of a number whose cube is -8.
-2 is good because (-2)3 = -8.
So 3-8 = 3(-2)3.

Cancel the cube root and the cube.
Then 3(-2)3 = -2.

## Example 3

### Solution

Change the number inside the radical sign, -1000, to a cube.
Think of a number whose cube is -1000.
-10 is good because (-10)3 = -1000.
So -3-1000 = -3(-10)3.

Cancel the cube root and the cube.
Then -3(-10)3 = -(-10).

-(-10) = 10