Question

Помогите, пожалуйста, Упростить выражение:....................................................................................................................................................................................................................................................................................$frac{ sqrt{a}- sqrt{b} }{ sqrt[4]{a} - sqrt[4]{b} } - frac{ sqrt{a} + sqrt[4]{ab} }{ sqrt[4]{a}+ sqrt[4]{b} }$

Answer 1

(√a -√b)/(a^1/4 -b^1/4) - (√a +(ab)^1/4)/(a^1/4 +b^1/4) =
(a^1/4 -b^1/4)(a^1/4+b^1/4)/(a^1/4 -b^1/4) - a^(1/4) *( a^1/4+b^1/4)/(a^1/4 +b^1/4) =
a^1/4+b^1/4 - a^(1/4)=b^1/4.