Question

How do you rationalize the denominator and simplify `5/(sqrt6-2)`?

Answer 1

I tried this:

Explanation:

Let us multiply and divide by `sqrt(6)+2`:

`5/(sqrt(6)-2)*color(red)((sqrt(6)+2)/(sqrt(6)+2))`

`=(5sqrt(6) + 10)/(6-4)`

`=(5 sqrt(6)+10)/2`

`=5/2sqrt(6)+5`

`=5(sqrt(6)/2+1)`