In this page, finding cube root using prime factorization, is introduced in a simple thought process.

*click on the content to continue..*

What is the `root(3)(216)`?

- `6`
- `6`
- `18`

The answer is "`6`".

Cube root is a form of root. In roots, we learned to perform prime factorization to find the root.

`root(3)(216)`

`=root(3)(2xx2xx2xx3xx3xx3)`

`=2xx3`

`=6`

**Finding Cube Roots** : To find cube root of a number, express the number in prime factors and group the factors.

eg: `root(3)(1000)` `=root(3)(2xx2xx2xx5xx5xx5)` `=2xx5 =10`

Note: This method is suitable for finding cube roots resulting in integers.

*slide-show version coming soon*