I was supposed to simplify this:

6+ √2

_____

3-√2

I multiplied both the top and bottom by the conjugate of the denominator and got:

18+9√2+√4

________

9-√4

What would I need to do to simplify that a step further? It doesn't seem completely simplified?

EDIT: I THINK I MESSED UP ON THE BOTTOM HALF.

I think my final answer should actually be:

18+9√2+√4

_________

7

Is that right?