Convergence of $\sum \frac{1}{\ln n}(\sqrt{n+1} - \sqrt{n})$ Show that 
$$ \sum\frac{1}{\ln n}(\sqrt{n+1} - \sqrt{n})$$
Converges.
I've tried the telescopic property or even write it as
$$\sum \frac{1}{\ln n (\sqrt{n+1}+\sqrt{n})}$$
But didnt help.
Thanks in advance!

Hint(for using telescopic property):
$$\dfrac{1}{\ln(n)}(\sqrt{n+1} - \sqrt{n}) \geq  \dfrac{\sqrt{n+1}}{\ln(n+1)} - \dfrac{\sqrt{n}}{\ln(n)}$$
