Question

Упростить
$sqrt{6} + sqrt{5} - frac{1}{ sqrt{11-2 sqrt{30} } }$

Answer 1

$sqrt{6} + sqrt{5} - frac{1}{ sqrt{11-2 sqrt{30} } } = sqrt{6} + sqrt{5} - frac{1}{ sqrt{( sqrt{6} - sqrt{5} )^2} } = sqrt{6} + sqrt{5} - frac{1}{ sqrt{6} - sqrt{5} } = \ = sqrt{6} + sqrt{5} - frac{sqrt{6} + sqrt{5}}{ (sqrt{6} - sqrt{5} )(sqrt{6} + sqrt{5}) } = sqrt{6} + sqrt{5} - sqrt{6} - sqrt{5}=0$