Answer
$-2i\sqrt 2$
Work Step by Step
Step 1: $-\sqrt -8$
Step 2: $-\sqrt (-1\times8)$
Step 3: $-(\sqrt -1\times\sqrt 8)$
Step 4: Since $\sqrt -1=i$, the expression becomes $-i\sqrt 8$
Step 5: $-i\sqrt (2\times4)$
Step 6: $-i\sqrt 2\sqrt 4$
Step 7: This is simplified to $-2i\sqrt 2$