Answer
$16\sqrt 2$
Work Step by Step
$2\sqrt 50+3\sqrt 8=2\sqrt (25\times2)+3\sqrt (4\times2)=(2\times \sqrt 25\times\sqrt2)+(3\times \sqrt 4\times\sqrt2)=(2\times5\times\sqrt 2)+(3\times2\times\sqrt2)=10\sqrt2+6\sqrt2=(10+6)\sqrt 2=16\sqrt 2$
We know that $\sqrt 25=5$, because $5^{2}=25$.
We know that $\sqrt 4=2$, because $2^{2}=4$.