First, you would simplify. (I don't know how to type the radical sign, so I'm just going to type radical :))
[tex] \sqrt{2} + 1/\sqrt{2} [/tex]
Then since you can't have a radical as the denominator on the bottom, you would multiply the bottom and top by radical2 on both sides and get:
[tex] \sqrt{2} + \sqrt{2}/2 [/tex]
If you are looking for an exact answer, this would be the answer^^
If you are looking for an approximate answer, the answer would be approx. 2.12132.
Hope this helped :)