Question

How do you rationalize the denominator and simplify `(6sqrt5)/(sqrt15 +2)`?

Answer 1

`(30sqrt3-12sqrt5)/11`

Explanation:

`(6sqrt5)/(sqrt(15)+2)` `xx` `(sqrt(15)-2)/(sqrt(15)-2)`

`=>` `(6sqrt75-12sqrt5)/(15-2sqrt15+2sqrt15-4)`

`=>` `(30sqrt3-12sqrt5)/11`