Answer
$ \frac{5\sqrt 3+\sqrt 6}{23}$
Work Step by Step
$\frac{\sqrt 3}{5-\sqrt 2}=\frac{\sqrt 3}{5-\sqrt 2}\times\frac{5+\sqrt 2}{5+\sqrt 2}=\frac{\sqrt 3(5+\sqrt 2)}{25-2}=\frac{5\sqrt 3+\sqrt 6}{23}$
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