√14 / √14 + √6 + √6 / √14 - √6

[latex] \frac{ \sqrt{14} }{ \sqrt{14} + \sqrt{6} } + \frac{ \sqrt{6} }{ \sqrt{14} - \sqrt{6} }= \frac{ \sqrt{14}(\sqrt{14} - \sqrt{6})+\sqrt{6}(\sqrt{14} + \sqrt{6}) }{ (\sqrt{14} + \sqrt{6})(\sqrt{14} - \sqrt{6}) } = \\ \\ =\frac{14- \sqrt{84}+\sqrt{84}+6 }{14-\sqrt{84}+\sqrt{84}-6}= \frac{20}{8} = \frac{5}{2} =2,5[/latex]