[tex] \frac{ {^ \sqrt{3} + \sqrt{2})} \sqrt{3} }{ \sqrt{3} - \sqrt{2} } - \frac{ {^ \sqrt{3} - \sqrt{2})}\sqrt{2} }{ \sqrt{3} + \sqrt{2} } =\ ? \\ = \frac{3+ \sqrt{6} }{3-2} - \frac{ \sqrt{6}-2 }{3-2} \\ = \frac{3+ \sqrt{6}- \sqrt{6}+2 }{1} \\ =3+2 \\ \boxed{=5}[/tex]
