Question

Найдите значение выражения

Answer 1

$...=sqrt{7}-sqrt{2}-frac{5}{sqrt{7+2sqrt{14}+2}}=sqrt{7}-sqrt{2}-frac{5}{sqrt{(sqrt{7})^2+2*sqrt{7}*sqrt{2}+(sqrt{2})^2}}=\=sqrt{7}-sqrt{2}-frac{5}{sqrt{(sqrt{7}+sqrt{2})^2}}=sqrt{7}-sqrt{2}-frac{5}{|sqrt{7}+sqrt{2}|}=\=sqrt{7}-sqrt{2}-frac{5}{sqrt{7}+sqrt{2}}=sqrt{7}-sqrt{2}-frac{5*(sqrt{7}-sqrt{2})}{(sqrt{7}+sqrt{2})*(sqrt{7}-sqrt{2})}=\=sqrt{7}-sqrt{2}-frac{5(sqrt{7}-sqrt{2})}{(sqrt{7})^2-(sqrt{2})^2}=sqrt{7}-sqrt{2}-frac{5(sqrt{7}-sqrt{2})}{5}=$
$=sqrt{7}-sqrt{2}-(sqrt{7}-sqrt{2})=sqrt{7}-sqrt{2}-sqrt{7}+sqrt{2}=0$

Answer 2

исправлю, ошибся

Answer 3

Спасибо, я смысл понял :)

Answer 4

это главное, исправил)