Question

\(\dfrac{a\sqrt{b}-b\sqrt{a}}{\sqrt{ab}}-\dfrac{a-b}{\sqrt{a}-\sqrt{b}}\) với \(a>0,b>0;a\ne b\)

giúp mk với!!!

Answer 1

`(asqrtb-bsqrta)/sqrt{ab}-(a-b)/(sqrta-sqrtb)`

`=(sqrt{ab}(\sqrta-sqrtb))/sqrt{ab}-((sqrta-sqrtb)(sqrta+sqrtb))/(sqrta-sqrtb)`

`=sqrta-sqrtb-(sqrta-sqrtb)`

`=-2sqrtb`

Answer 2

`(a\sqrtb-b\sqrta)/(\sqrt(ab)) -(a-b)/(\sqrta-\sqrtb)`

`=(\sqrt(ab) (\sqrta-\sqrtb))/(\sqrt(ab)) - ((\sqrta-\sqrtb)(\sqrta+\sqrtb))/(\sqrta-\sqrtb)`

`=(\sqrta-\sqrtb) - (\sqrta+\sqrtb)`

`=-2\sqrtb`