Question

Извлечь из под знака корня$sqrt{frac{121}{144} }$ $sqrt{2frac{10}{27} }$

Answer 1

$sqrt{frac{121}{144} }, sqrt{2frac{10}{27} }=sqrt{frac{11^2}{12^2} }, sqrt{frac{64}{27} }=frac{11}{12}, sqrt{frac{8^2}{3^3}}=frac{11}{12}cdot frac{8}{3sqrt3}=frac{22}{9sqrt3}=frac{22sqrt3}{27}$