Answer
$\frac{5\sqrt 2+1}{14}$
Work Step by Step
$\frac{3+\sqrt 2}{4\sqrt 2+2}$
Multiply the equation with $\frac{4\sqrt 2-2}{4\sqrt 2-2}$
$=\frac{(3+\sqrt 2)(4\sqrt 2-2)}{32-4}$
$=\frac{12\sqrt 2-6+8-2\sqrt 2}{28}$
$=\frac{10\sqrt 2+2}{28}$
$=\frac{5\sqrt 2+1}{14}$
