Question

How do you rationalize the denominator and simplify `5/(sqrt6+sqrt15)`?

Answer 1

See below

Explanation:

`5/(sqrt6+sqrt15)=(5(sqrt6-sqrt15))/((sqrt6+sqrt15)(sqrt6-sqrt15))`

`=(5sqrt6-5sqrt15)/(6-15)=(5sqrt6-5sqrt15)/-9=-5/9(sqrt6-sqrt15)`