Answer
$\frac{15-3\sqrt 2}{23}$
Work Step by Step
$\frac{3}{5+\sqrt 2}=\frac{3(5-\sqrt 2)}{(5+\sqrt 2)(5-\sqrt 2)}=\frac{15-3\sqrt 2}{25-2}=\frac{15-3\sqrt 2}{23}$
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