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I have been working on this problem for the past 2 days and can't seem to get it. I have gotten parts of the answer but not the answer. Could someone explain this to me?

The answer is sqrt(2) - 1 or 1 / ( 1 + sqrt(2) )

Problem: H is infinity

sqrt(H+1) / ( sqrt(2H) + sqrt(H-1) )

I am completely stumped. The best thing I have done in getting close to the answer was to take out the sqrt(2) out of the sqrt(2H), and then to multiply top and bottom by

sqrt(H) + sqrt(H-1). My main problem was that I couldn't simplify the problem down to the answer. Maybe I only need to simplify it to some point and then use the finite math theorems...any ideas would be greatly appreciated.

Note, if you could point out some useful hints, that would be preferable to just solving it for me.

Cheers