Answer
False.
Work Step by Step
Solve the left hand side.
$=\frac{\sqrt{-8}}{\sqrt2}$
Divide the radicands and retain the common index.
$=\sqrt{\frac{-8}{2}}$
Simplify.
$=\sqrt{-4}$
$=\sqrt{-1\cdot 2^2}$
$=2\sqrt{-1}$
The last term is not correct.
Hence, the statement is false.
