How to simplify sqrt(2)/(sqrt(2) - 1) to 2 + sqrt(2)

[negatifzeo]

Homework Statement

I feel really stupid asking this, but I'm working on infinite series and my answer is sqrt(2)/(sqrt(2)-1) The book simplifies this to 2 + sqrt(2) and I don't know how this simplification occurs. I'm sure the answer is really obvious and I sure feel stupid not seeing it! Any help is appreciated.

Homework Equations

The Attempt at a Solution

 

[negatifzeo]

nevermind, I see now that it was the conjugate... :)