$\displaystyle \lim_{n\to\infty}\sum_{n=1}^{\infty}\frac{1}{\sqrt {n^2+n}}=?$

i tried to look for collapsing fractions but they don't collapse

i tried to find the limit of the ratio of

$\displaystyle \frac{\sum_{n=1}^{\infty}\frac{1}{\sqrt{(n+1)^2+n+ 1}}}{\sum_{n=1}^{\infty}\frac{1}{\sqrt{n^2+n}}}$

but i don't know how to begin untangling that thing

is there another way or can you tell me how to begin to figure something out of that?