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## Homework Statement

Prove that the series diverges: [itex]\sum_{i=1}^{\infty}\sqrt{n+1}-\sqrt{n}[/itex]

## The Attempt at a Solution

I'm trying to use the comparison test, but I don't know what to compare it to. All I have done so far is change the terms to be in fraction form:

[itex]\sqrt{n+1}[/itex]-[itex]\sqrt{n}[/itex]=[itex]\frac{1}{\sqrt{n+1}+\sqrt{n}}[/itex]

Any clues on what to do next would be great. Thanks!