Question

помогите решить, пожалуйста

Answer 1

$frac{12}{12-5sqrt6}-frac{12}{12+5sqrt6}=frac{144+60sqrt6-144+60sqrt6}{12^2-25cdot 6}=frac{120sqrt6}{-6}=-20sqrt6\\frac{1}{sqrt{7+sqrt{24}}+1}-frac{1}{sqrt{7+sqrt{24}}-1}=frac{sqrt{7+sqrt{24}}-1-sqrt{7+sqrt{24}}-1}{(7+sqrt{24})-1}=\\=frac{-2}{6-sqrt{24}}=frac{-2}{sqrt6(sqrt6-2)}=-frac{sqrt2}{sqrt3(sqrt6-2)}$