Question

How do you rationalize the denominator and simplify `3/(sqrt3-1)`?

Answer 1

`=3(sqrt3+1)/2`

Explanation:

Multiplying numerator and denominator of`3/(sqrt3-1)` by `sqrt3+1`
we get
`3(sqrt3+1)/((sqrt3-1)(sqrt3+1)`
`=3(sqrt3+1)/(3-1)`
`=3(sqrt3+1)/2`