Linear Algebra Examples

$2 \sqrt{- 108}$

Step 1

Rewrite $- 108$ as $- 1 (108)$ .

$2 \sqrt{- 1 (108)}$

Step 2

Rewrite $\sqrt{- 1 (108)}$ as $\sqrt{- 1} \cdot \sqrt{108}$ .

$2 (\sqrt{- 1} \cdot \sqrt{108})$

Step 3

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

$2 (i \cdot \sqrt{108})$

Step 4

Rewrite $108$ as $6^{2} \cdot 3$ .

Tap for more steps...

Step 4.1

Factor $36$ out of $108$ .

$2 (i \cdot \sqrt{36 (3)})$

Step 4.2

Rewrite $36$ as $6^{2}$ .

$2 (i \cdot \sqrt{6^{2} \cdot 3})$

Step 5

Pull terms out from under the radical.

$2 (i \cdot (6 \sqrt{3}))$

Step 6

Simplify the expression.

Tap for more steps...

Step 6.1

Move $6$ to the left of $i$ .

$2 (6 \cdot i \sqrt{3})$

Step 6.2

Multiply $6$ by $2$ .

$12 i \sqrt{3}$