$$\\\sqrt{250}-\frac{\sqrt{40}}{\sqrt2}\\\\
=\sqrt{250}-\frac{\sqrt{40}\sqrt2}{2}\\\\
=\sqrt{25}\sqrt{10}-\frac{\sqrt{10}\sqrt4\sqrt2}{2}\\\\
=5\sqrt{10}-\frac{\sqrt{10}*2*\sqrt2}{2}\\\\
=5\sqrt{10}-\sqrt{5}\sqrt2\sqrt2\\\\
=5\sqrt{10}-2\sqrt{5}\\\\$$
.