Answer
$21\sqrt{2}$
Work Step by Step
Using $a(b+c)=ab+ac$ or the Distributive Property, the given expression, $
7\sqrt{2}+14\sqrt{2}
,$ simplifies to
\begin{array}{l}\require{cancel}
(7+14)\sqrt{2}
\\\\=
21\sqrt{2}
.\end{array}
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