Algebra Examples

$\sqrt{- 289}$

Step 1

Rewrite $- 289$ as $- 1 (289)$ .

$\sqrt{- 1 (289)}$

Step 2

Rewrite $\sqrt{- 1 (289)}$ as $\sqrt{- 1} \cdot \sqrt{289}$ .

$\sqrt{- 1} \cdot \sqrt{289}$

Step 3

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

$i \cdot \sqrt{289}$

Step 4

Rewrite $289$ as $17^{2}$ .

$i \cdot \sqrt{17^{2}}$

Step 5

Pull terms out from under the radical, assuming positive real numbers.

$i \cdot 17$

Step 6

Move $17$ to the left of $i$ .

$17 i$