(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine whether or not the series [tex]\sum^{\infty}_{n=1} \frac{1}{\sqrt{n+1}+\sqrt{n}}[/tex] converges.

3. The attempt at a solution

Assuming this diverges, I rationalize it to get get [tex]\sum^{\infty}_{n=1} \sqrt{n+1} - \sqrt{n}[/tex]. How would I proceed further?

Is this even the right approach?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Determine whether series is convergent or divergent

**Physics Forums | Science Articles, Homework Help, Discussion**