Question

How do you rationalize the denominator and simplify `(3 + sqrt(3) )/ (4-2sqrt(3))`?

Answer 1

`(9+5sqrt3)/2`

Explanation:

You would multiply each term of the fraction by `4+2sqrt3`:

`((3+sqrt3)(4+2sqrt3))/((4-2sqrt3)(4+2sqrt3)`

`(12+6sqrt3+4sqrt3+6)/(16-12)`

`(18+10sqrt3)/4`

`(9+5sqrt3)/2`