Question

Упростить выражениt 1)

Answer 1

$\frac{\sqrt[3]{x^2}-x^{-\frac{1}{3}}\cdot y }{\sqrt[6]{x}- x^{-\frac{1}{3} }\cdot \sqrt{y}}= \frac{x^{-\frac{1}{3}}\cdot (x-y)}{x^{-\frac{1}{3}}\cdot (x^{ \frac{1}{2}}-y^{\frac{1}{2}})}= \frac{x-y}{ \sqrt{x}-\sqrt{y} }= \frac{(\sqrt{x}-\sqrt{y})(\sqrt{x}+\sqrt{y})}{ \sqrt{x}-\sqrt{y}}=\\\\= \sqrt{x}+\sqrt{y}$