$$\frac{\sqrt{2+x}-\sqrt{2}\times\sqrt{2+x}+\sqrt{2}}{x\times\sqrt{2+x}+\sqrt{2}}$$
$\frac{\sqrt{x+2}-\sqrt{2\left(x+2\right)}+\sqrt{2}}{\sqrt{x+2}x+\sqrt{2}}$
$\frac{\sqrt{\frac{2}{x+2}}\left(-\sqrt{2\left(x+2\right)}x+2\sqrt{x+2}x-3x+4\sqrt{x+2}-2\sqrt{2\left(x+2\right)}-\sqrt{2}-3\right)}{2\left(\sqrt{x+2}x+\sqrt{2}\right)^{2}}$
