Question

How do you simplify `3 / (sqrt6 -sqrt3)`?

Answer 1

`=sqrt6+sqrt3`

Explanation:

`3/(sqrt6-sqrt3)`
Multiplying numerator and denominator by `(sqrt6+sqrt3)`
we get
`3(sqrt6+sqrt3)/((sqrt6+sqrt3)(sqrt6-sqrt3)`
`=3(sqrt6+sqrt3)/(6-3)`
`=3(sqrt6+sqrt3)/3`
`=sqrt6+sqrt3`