[tex]1) \frac{3}{2\sqrt{6} } =\frac{3}{2\sqrt{6} } *\frac{\sqrt{6} }{\sqrt{6} } =\frac{3*\sqrt{6} }{2\sqrt{6}*\sqrt{6} } } =\frac{3\sqrt{6} }{2\sqrt{36} } =\frac{3\sqrt{6} }{2*6} =\frac{\sqrt{6} }{2*2} =\frac{\sqrt{6} }{4} \\2) \frac{10}{\sqrt{14}-2 } =\frac{10}{\sqrt{14}-2 } *\frac{\sqrt{14}+2 }{\sqrt{14} +2} =\frac{10(\sqrt{14}+2) }{(\sqrt{14} -2)(\sqrt{14}+2 )}=\frac{10(\sqrt{14}+2) }{(\sqrt{14})^2-(2)^2} =} \frac{10(\sqrt{14}+2)}{14-4} =\frac{10(\sqrt{14} +2)}{10} =\sqrt{14} +2[/tex]