Algebra Examples

$3 \sqrt{- 64}$

Step 1

Rewrite $- 64$ as $- 1 (64)$ .

$3 \sqrt{- 1 (64)}$

Step 2

Rewrite $\sqrt{- 1 (64)}$ as $\sqrt{- 1} \cdot \sqrt{64}$ .

$3 (\sqrt{- 1} \cdot \sqrt{64})$

Step 3

Rewrite $\sqrt{- 1}$ as $i$ .

$3 (i \cdot \sqrt{64})$

Step 4

Rewrite $64$ as $8^{2}$ .

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

Step 5

Pull terms out from under the radical, assuming positive real numbers.

$3 (i \cdot 8)$

Step 6

Move $8$ to the left of $i$ .

$3 (8 \cdot i)$

Step 7

Multiply $8$ by $3$ .

$24 i$