$\frac{\sqrt{18}}{\sqrt{3}}=\sqrt{\frac{18}{3}}=\sqrt{6}$

$\frac{3\sqrt{2}}{\sqrt{6}}=\frac{3\cdot \sqrt{2}}{\sqrt{3}\cdot \sqrt{2}}=\frac{3}{\sqrt{3}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{3}{\sqrt{3}}=\frac{3}{\sqrt{3}}\cdot \frac{{\sout{\sqrt{3}}}^1}{{\sout{\sqrt{3}}}^1}=\frac{\sout{3}\sqrt{3}}{\sout{3}}=\sqrt{3}$

$\frac{2\sqrt{2}}{\sqrt{10}}=\frac{2\cdot \sqrt{2}}{\sqrt{5\cdot 2}}=\frac{2\cdot \sqrt{2}}{\sqrt{5}\cdot \sqrt{2}}=\frac{2}{\sqrt{5}}\cdot \frac{{\sout{\sqrt{2}}}^1}{{\sout{\sqrt{2}}}^1}=\frac{2}{\sqrt{5}}=\frac{2}{\sqrt{5}}\cdot \frac{\sqrt{5}}{\sqrt{5}}=\frac{2\sqrt{5}}{5}$

$\frac{\sqrt{22}}{\sqrt{11}}=\sqrt{\frac{22}{11}}=\sqrt{2}$

$\frac{\sqrt{72}}{\sqrt{12}}=\sqrt{\frac{72}{12}}=\sqrt{6}$

$\frac{2}{\sqrt{18}}=\frac{2}{\sqrt{18}}\cdot \frac{\sqrt{18}}{\sqrt{18}}=\frac{2\sqrt{18}}{18}=\frac{2\sqrt{9\cdot 2}}{18}=\frac{2\cdot \sqrt{9}\cdot \sqrt{2}}{18}=\frac{2\cdot 3\cdot \sqrt{2}}{18}=\frac{\sout{6}\sqrt{2}}{{\sout{18}}^3}=\frac{\sqrt{2}}{3}$

 

$\frac{\sqrt{18}}{\sqrt{3}}$	$\frac{3\sqrt{2}}{\sqrt{6}}$	$\frac{2\sqrt{2}}{\sqrt{10}}$	$\frac{\sqrt{22}}{\sqrt{11}}$	$\frac{\sqrt{72}}{\sqrt{12}}$	$\frac{2}{\sqrt{18}}$
$\sqrt{6}$	$\sqrt{3}$	$\frac{2\sqrt{5}}{5}$	$\sqrt{2}$	$\sqrt{6}$	$\frac{\sqrt{2}}{3}$