#### Answer

$i\sqrt{3}$

#### Work Step by Step

Divide the inside of each radical with one radical over both of them.
$\sqrt{\frac{-24}{8}}$
Simplify.
$\sqrt{\frac{-24}{8}}=\sqrt{-3}$
Pull the negative inside the radical into an imaginary number outside of the radical.
$i\sqrt{3}$