help plz

$\frac{\sqrt{160}}{\sqrt{252}}\cdot \frac{\sqrt{245}}{\sqrt{128}}$

$=\frac{7\sqrt{5}}{8\sqrt{2}}\cdot \frac{2\sqrt{10}}{3\sqrt{7}}$

$=\frac{2\sqrt{10}\cdot 7\sqrt{5}}{3\sqrt{7}\cdot 8\sqrt{2}}$

$=\frac{14\sqrt{10}\sqrt{5}}{24\sqrt{7}\sqrt{2}}$

$=\frac{\sqrt{7}\sqrt{10}\sqrt{5}}{12\sqrt{2}}$

$=\frac{\sqrt{7}\sqrt{2}\sqrt{5}\sqrt{5}}{2^2\cdot \:3\sqrt{2}}$

$=\frac{5\sqrt{7}}{3\cdot \:2\sqrt{2}\sqrt{2}}$

$=\frac{5\sqrt{7}}{12}$

pray that i didn't mess up