Answer
$\frac{1}{(\sqrt{x+5}+\sqrt 5)}$
Work Step by Step
$\frac{\sqrt{x+5}-\sqrt 5}{x}=\frac{(\sqrt{x+5}-\sqrt 5)(\sqrt{x+5}+\sqrt 5)}{x(\sqrt{x+5}+\sqrt 5)}=\frac{x+5-5}{x(\sqrt{x+5}+\sqrt 5)}=\frac{x}{x(\sqrt{x+5}+\sqrt 5)}=\frac{1}{(\sqrt{x+5}+\sqrt 5)}$
