Simplify 3 square root of -64i

$3 \sqrt{- 64 i}$

Step 1

Rewrite $- 64$ as ${(8 i)}^{2}$ .

$3 \sqrt{{(8 i)}^{2} i}$

Step 2

Pull terms out from under the radical.

$3 (8 i \sqrt{i})$

Step 3

Multiply $8$ by $3$ .

$24 i \sqrt{i}$