Answer
$\text{midpoint} = (1, 5\sqrt{5})$
Work Step by Step
RECALL:
The midpoint of the line segment whose endpoints are $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the midpoint formula:
$\text{midpoint}=\left(\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2} \right)$
Use the formula above to obtain:
$\text{midpoint} = \left(\dfrac{8+(-6)}{2}, \dfrac{3\sqrt{5}+7\sqrt{5}}{2}\right)=\left(\dfrac{2}{2}, \dfrac{10\sqrt{5}}{2}\right)
\\\text{midpoint} = (1, 5\sqrt{5})$
