Question

How do you rationalize the denominator and simplify `(6sqrt5)/(5sqrt3)`?

Answer 1

`(2/5)sqrt15`.

Explanation:

The Exp.`=(6sqrt5)/(5sqrt3)`

`=(6sqrt5)/(5sqrt3) xx sqrt3/sqrt3`

`=((cancel(3)xx2)(sqrt(5xx3)))/(cancel(3)xx5)`

`=(2/5)sqrt15`.