Simplify:
$\frac{\sqrt{a}}{\sqrt{x} (\sqrt{a} - \sqrt{x})^{2}}$

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Solution

$\frac{\sqrt{a}}{\sqrt{x} {(\sqrt{a} - \sqrt{x})}^{2}}$
$= \frac{\sqrt{a}}{\sqrt{x} (a + x - 2 \sqrt{a x})}$
$= \frac{\sqrt{a}}{a \sqrt{x} + x \sqrt{x} - 2 x \sqrt{a}}$

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