Question

 √14 / √14 + √6 + √6 / √14 - √6

Answer 1

$frac{ sqrt{14} }{ sqrt{14} + sqrt{6} } + frac{ sqrt{6} }{ sqrt{14} - sqrt{6} }= frac{ sqrt{14}(sqrt{14} - sqrt{6})+sqrt{6}(sqrt{14} + sqrt{6}) }{ (sqrt{14} + sqrt{6})(sqrt{14} - sqrt{6}) } = \ \ =frac{14- sqrt{84}+sqrt{84}+6 }{14-sqrt{84}+sqrt{84}-6}= frac{20}{8} = frac{5}{2} =2,5$