Answer
$37\sqrt{2}$
Work Step by Step
The given expression is
$=9\sqrt{32}+\sqrt{2}$
Factor as square terms.
$=9\sqrt{16\cdot 2}+\sqrt{2}$
Use product property of square roots.
$=9\sqrt{16}\cdot \sqrt{2}+\sqrt{2}$
Use $\sqrt {16}=4$.
$=9\cdot 4\sqrt{2}+\sqrt{2}$
Simplify.
$=36\sqrt{2}+\sqrt{2}$
Use distributive property.
$=(36+1)\sqrt{2}$
Subtract.
$=37\sqrt{2}$
