Question

Please solve this answer ASAP. Need it urgently...!​

Answer 1

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We have, $\rm \alpha+\beta=-b / a$ and $\rm \alpha \beta=c / a$

$\begin{array}{l} \rm \displaystyle \sqrt{\frac{\alpha}{\beta}}+\sqrt{\frac{\beta}{\alpha}}\\ \\ \rm \displaystyle=\frac{\alpha+\beta}{\sqrt{\alpha \beta}}\\ \\ \displaystyle \rm=\frac{-\frac{b}{a}}{\sqrt{\frac{c}{a}}} \\ \\ \boxed{\red { \rm =\dfrac{-b}{\sqrt{a c} }}}\end{array}$