Question

Спростити вираз √x/√y-√x÷(√y/√y-√x-√y+√x/√y​)

Answer 1

Ответ:

Объяснение:

$\frac{\frac{\sqrt{x}}{\sqrt{y}}-\sqrt{x}}{\frac{\sqrt{y}}{\sqrt{y}}-\sqrt{x}-\sqrt{y}+\frac{\sqrt{x}}{\sqrt{y}}} = \frac{\frac{\sqrt{x}}{\sqrt{y}}-\sqrt{x}}{1-\sqrt{x}-\sqrt{y}+\frac{\sqrt{x}}{\sqrt{y}}} =$
$= \frac{{\frac{\sqrt{x}-\sqrt{xy}}{\sqrt{y}}}}{\frac{\sqrt{y}-\sqrt{xy}-y+\sqrt{x}}{\sqrt{y}}} = \frac{{\sqrt{x}-\sqrt{xy}}{{}}}{{\sqrt{y}-\sqrt{xy}-y+\sqrt{x}}}}$