Answer
$-4\sqrt 3$
Work Step by Step
Step 1: $\sqrt -8\times\sqrt -6$
Step 2: $\sqrt (-1\times8)\times\sqrt (-1\times6)$
Step 3: $\sqrt -1\times\sqrt 8\times\sqrt -1\times\sqrt 6$
Step 4: Substituting $i=\sqrt -1$,
$i\times\sqrt (2\times4)\times i\times\sqrt (2\times3)$
Step 5: $i\times\sqrt 2\times\sqrt 4\times i\times\sqrt 2\times\sqrt 3$
Step 6: $i\times\sqrt 2\times2\times i\times\sqrt 2\times\sqrt 3$
Step 7: $i\times i\times2\times(\sqrt 2\times\sqrt 2)\times\sqrt 3$
Step 8: $i^{2}\times2\times(2)\times\sqrt 3$
Step 9: Substituting $i^{2}=-1$,
$-1\times2\times(2)\times\sqrt 3$
Step 10: $-4\sqrt 3$
