real analysis - compute $lim_{nto infty} sqrt{n}(sqrt{n+1}-sqrt{n})$

how should I approach the following limit?
$$\lim_{n\to \infty} \sqrt{n}(\sqrt{n+1}-\sqrt{n})$$

Answer

A start: Multiply by $\dfrac{\sqrt{n+1}+\sqrt{n}}{\sqrt{n+1}+\sqrt{n}}$.