Basic Math Examples

$\sqrt{- 64 - 12}$

Step 1

Subtract $12$ from $- 64$ .

$\sqrt{- 76}$

Step 2

Rewrite $- 76$ as $- 1 (76)$ .

$\sqrt{- 1 (76)}$

Step 3

Rewrite $\sqrt{- 1 (76)}$ as $\sqrt{- 1} \cdot \sqrt{76}$ .

$\sqrt{- 1} \cdot \sqrt{76}$

Step 4

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

$i \cdot \sqrt{76}$

Step 5

Rewrite $76$ as $2^{2} \cdot 19$ .

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Step 5.1

Factor $4$ out of $76$ .

$i \cdot \sqrt{4 (19)}$

Step 5.2

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

$i \cdot \sqrt{2^{2} \cdot 19}$

Step 6

Pull terms out from under the radical.

$i \cdot (2 \sqrt{19})$

Step 7

Move $2$ to the left of $i$ .

$2 i \sqrt{19}$