Question

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

Answer 1

I tried this:

Explanation:

We can multiply and divide by `sqrt(3)+1` to get:
`3/(sqrt(3)-1)*color(red)((sqrt(3)+1)/(sqrt(3)+1))=`
let us multiply numerators and denominators:
`(3sqrt(3)+3)/(3-1)=(3sqrt(3)+3)/2`