Answer
B
Work Step by Step
Factor out the perfect squares to simplify the expression.
$2\sqrt {18}-\sqrt {32}+4\sqrt 8\longrightarrow$ factor out the perfect squares
=$2(\sqrt{9\times2})-\sqrt{16\times2}+4\sqrt{4\times2}\longrightarrow$ multiplication property of square roots
=$2(\sqrt9)(\sqrt2)-(\sqrt16)(\sqrt2)+4(\sqrt4)(\sqrt2)\longrightarrow$ simplify
=$2(3)(\sqrt{2})-4\sqrt2+4(2)(\sqrt2)\longrightarrow$ multipluy
=$6\sqrt2-4\sqrt2+8\sqrt2\longrightarrow$ distributive property
=$\sqrt2(6-4+8)\longrightarrow$ simplify
=$10\sqrt2$
