Question

Упростите выражение #7

Answer 1

$(\frac{\sqrt{a} }{a-b}- \frac{1}{\sqrt{a}+ \sqrt{b} } ): \frac{\sqrt{a} }{b-a} =\\(\frac{\sqrt{a} }{a-b}- \frac{1(\sqrt{a}-\sqrt{b})} {(\sqrt{a}+ \sqrt{b})(\sqrt{a}- \sqrt{b}) } ):(- \frac{\sqrt{a} }{a-b})=\\(\frac{\sqrt{a}-\sqrt{a}+\sqrt{b}}{a-b})*(-\frac{a-b}{\sqrt{a} } )=\\-\frac{\sqrt{b} }{a-b}*\frac{a-b}{\sqrt{a} } =\\-\frac{\sqrt{b} }{\sqrt{a}}$