[tex]\frac{\sqrt{2}}{\sqrt{3}-\sqrt{2}} = \frac{\sqrt{2}(\sqrt{3}+\sqrt{2})}{(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})} =\frac{\sqrt{2\cdot3}+\sqrt{2\cdot2}}{3-2} = \frac{\sqrt{6}+2}{1} = \sqrt{6}+2}[/tex]
