Question

Упростите выражение срочно!!!!!!

Answer 1

$frac{sqrt{sqrt{10}-2}*sqrt{sqrt{10}+2}}{sqrt{24}}=frac{sqrt{(sqrt{10}-2)(sqrt{10}+2)}}{sqrt{24}}=sqrt{frac{(sqrt{10}-2)(sqrt{10}+2)}{24}}=\\ =sqrt{frac{10+2sqrt{10}-2sqrt{10}-4}{24}}=sqrt{frac{6}{24}}=sqrt{frac{1}{4}}=frac{1}{2}$