Answer
$-6\sqrt 2$
Work Step by Step
Step 1: $\sqrt -24\times\sqrt -3$
Step 2: $\sqrt -1\times\sqrt 24\times\sqrt -1\times\sqrt 3$
Step 3: $i\times\sqrt (4\times6)\times i\times\sqrt 3$
Step 4: $i\times\sqrt 4\times\sqrt 6\times i\times\sqrt 3$
Step 5: $i^{2}\times\sqrt 4\times\sqrt 6\times\sqrt 3$
Step 6: $-1\times\sqrt 4\times\sqrt (2\times3)\times\sqrt 3$
Step 7: $-1\times2\times\sqrt 2\times\sqrt 3\times\sqrt 3$
Step 8: $-1\times2\times\sqrt 2\times(\sqrt 3\times\sqrt 3)$
Step 9: $-1\times2\times\sqrt 2\times(3)$
Step 10: $-6\sqrt 2$
