Answer
$18\sqrt{2}$
Work Step by Step
Using the properties of radicals, the given expression, $
2\sqrt{50}+3\sqrt{72}-5\sqrt{8}
,$ simplifies to
\begin{array}{l}\require{cancel}
2\sqrt{25\cdot2}+3\sqrt{36\cdot2}-5\sqrt{4\cdot2}
\\\\=
2\sqrt{(5)^2\cdot2}+3\sqrt{(6)^2\cdot2}-5\sqrt{(2)^2\cdot2}
\\\\=
2(5)\sqrt{2}+3(6)\sqrt{2}-5(2)\sqrt{2}
\\\\=
10\sqrt{2}+18\sqrt{2}-10\sqrt{2}
\\\\=
18\sqrt{2}
.\end{array}
