Prove that lim

Problem: 

Prove that
\begin{equation} \lim_{h\to 0}\,\frac{1}{\sqrt{x+h}+\sqrt{x}}=\frac{1}{2\sqrt{x}}. \end{equation}

Answer: 

\begin{equation} \lim_{h\to 0}\,\frac{1}{\sqrt{x+h}+\sqrt{x}}=\frac{1}{2\sqrt{x}} \end{equation}