Answer
$2i$
Work Step by Step
Step 1: $\frac{\sqrt -8}{\sqrt 2}$
Step 2: $\sqrt \frac{-8}{2}$
Step 3: $\sqrt -4$
Step 4: $\sqrt -1\times\sqrt 4$
Step 5: As $\sqrt -1=i$, the expression becomes $i\sqrt 4$
Step 6: This can be simplified further to $2i$