[latex](\sqrt{2\frac{2}{5} }- \sqrt{5\frac{2}{5} }): \sqrt{\frac{3}{125} }[/latex]

[latex]\left (\sqrt{2\frac{2}{5}}- \sqrt{5\frac{2}{5}}\right ):\sqrt{\frac{3}{125}}=\left (\sqrt{\frac{12}{5}}-\sqrt{\frac{27}{5}}\right )\cdot \sqrt{\frac{125}{3}}=\\\\=\left (\frac{\sqrt{3\cdot 4}-\sqrt{3^3}}{\sqrt5}\right )\cdot \sqrt{\frac{5^3}{3}}=\frac{\sqrt3(\sqrt4-\sqrt{3^2})\cdot \sqrt{5^2}}{\sqrt3}=\frac{\sqrt3(2-3)\cdot 5}{\sqrt3}=-1\cdot 5=-5[/latex]