Answer
$ \frac{7+\sqrt 3}{20}$
Work Step by Step
$\frac{2}{7-\sqrt 3}=\frac{2}{7-\sqrt 3}\times\frac{7+\sqrt 3}{7+\sqrt 3}=\frac{2(7+\sqrt 3)}{49-9}=\frac{7+\sqrt 3}{20}$
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