Answer
Midpoint $=(3\sqrt{2},0)$
Work Step by Step
$(\sqrt{50},-6)$ and $(\sqrt{2},6)$
The midpoint of a segment with endpoints $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is $\Big(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\Big)$
Substitute the given points into the formula and evaluate:
Midpoint $=\Big(\dfrac{\sqrt{50}+\sqrt{2}}{2},\dfrac{-6+6}{2}\Big)=\Big(\dfrac{5\sqrt{2}+\sqrt{2}}{2},\dfrac{0}{2}\Big)=...$
$...=\Big(\dfrac{6\sqrt{2}}{2},0\Big)=(3\sqrt{2},0)$