Question

How do you rationalize `(2sqrt(180y))/540`?

Answer 1

Let's start by factorizing:

Explanation:

`180=(2xx2)xx(3xx3)xx5`
`540=2xx2xx3xx3xx3xx5`

We may now take all the 'doubles' out from under the root:

`=(cancel2xxcancel3sqrt(5y))/(cancel2xx2xxcancel3xx3xx3xx5)=sqrt(5y)/90`