Any help with this question would be very much appreciated
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Rationalize the denominator, and you will find you have a telescoping series.
Multiply nominator and denominator by the conjugate expression ( same expression with - sign in the middle) of the denominator.... the rest is easy as Mark Fl said in his post
I have rationalized the denominator but I don't actually know where to go from there, that is why I am posting this, I don't know the process
What did you get when you rationalized the denominator? If you show your work, then we can better see where you are and how best to help.
sqrt(r+1)-sqrt(r)
Correct, so we now have: $\displaystyle \sum_{r=1}^n\left(\sqrt{r+1}-\sqrt{r} \right)=\sum_{r=1}^n\sqrt{r+1}-\sum_{r=1}^n\sqrt{r}$ Now, can you change the index of summation on one of the sums so that you have the same summand in each?
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