Basic Math Examples

$22 \pm \sqrt{484 - 3360}$

Step 1

Subtract $3360$ from $484$ .

$22 \pm \sqrt{- 2876}$

Step 2

Rewrite $- 2876$ as $- 1 (2876)$ .

$22 \pm \sqrt{- 1 (2876)}$

Step 3

Rewrite $\sqrt{- 1 (2876)}$ as $\sqrt{- 1} \cdot \sqrt{2876}$ .

$22 \pm \sqrt{- 1} \cdot \sqrt{2876}$

Step 4

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

$22 \pm i \cdot \sqrt{2876}$

Step 5

Rewrite $2876$ as $2^{2} \cdot 719$ .

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Step 5.1

Factor $4$ out of $2876$ .

$22 \pm i \cdot \sqrt{4 (719)}$

Step 5.2

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

$22 \pm i \cdot \sqrt{2^{2} \cdot 719}$

Step 6

Pull terms out from under the radical.

$22 \pm i \cdot (2 \sqrt{719})$

Step 7

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

$22 \pm 2 i \sqrt{719}$