Algebra Examples

$- 6 - \sqrt{- 48}$

Step 1

Rewrite $- 48$ as $- 1 (48)$ .

$- 6 - \sqrt{- 1 (48)}$

Step 2

Rewrite $\sqrt{- 1 (48)}$ as $\sqrt{- 1} \cdot \sqrt{48}$ .

$- 6 - (\sqrt{- 1} \cdot \sqrt{48})$

Step 3

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

$- 6 - (i \cdot \sqrt{48})$

Step 4

Rewrite $48$ as $4^{2} \cdot 3$ .

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Step 4.1

Factor $16$ out of $48$ .

$- 6 - (i \cdot \sqrt{16 (3)})$

Step 4.2

Rewrite $16$ as $4^{2}$ .

$- 6 - (i \cdot \sqrt{4^{2} \cdot 3})$

Step 5

Pull terms out from under the radical.

$- 6 - (i \cdot (4 \sqrt{3}))$

Step 6

Move $4$ to the left of $i$ .

$- 6 - (4 \cdot i \sqrt{3})$

Step 7

Multiply $4$ by $- 1$ .

$- 6 - 4 i \sqrt{3}$