Question

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

Answer 1

While `(2sqrt(540y))/(180y)` can be simplified,
it can not be completely rationalized.
As a minimum you will have `sqrt(y)` stuck in there somewhere.

As a simplification:
`(2sqrt(540y))/(180y)`

`= (2(6)sqrt(15y))/((12)(15y)`

`= sqrt(15y)/(15y)`
or
`= 1/sqrt(15y)`