Precalculus Examples

$\sqrt{- 279}$

Step 1

Rewrite $- 279$ as $- 1 (279)$ .

$\sqrt{- 1 (279)}$

Step 2

Rewrite $\sqrt{- 1 (279)}$ as $\sqrt{- 1} \cdot \sqrt{279}$ .

$\sqrt{- 1} \cdot \sqrt{279}$

Step 3

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

$i \cdot \sqrt{279}$

Step 4

Rewrite $279$ as $3^{2} \cdot 31$ .

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Step 4.1

Factor $9$ out of $279$ .

$i \cdot \sqrt{9 (31)}$

Step 4.2

Rewrite $9$ as $3^{2}$ .

$i \cdot \sqrt{3^{2} \cdot 31}$

Step 5

Pull terms out from under the radical.

$i \cdot (3 \sqrt{31})$

Step 6

Move $3$ to the left of $i$ .

$3 i \sqrt{31}$