Algebra Examples

$\sqrt{- 196}$

Step 1

Rewrite $- 196$ as $- 1 (196)$ .

$\sqrt{- 1 (196)}$

Step 2

Rewrite $\sqrt{- 1 (196)}$ as $\sqrt{- 1} \cdot \sqrt{196}$ .

$\sqrt{- 1} \cdot \sqrt{196}$

Step 3

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

$i \cdot \sqrt{196}$

Step 4

Rewrite $196$ as $14^{2}$ .

$i \cdot \sqrt{14^{2}}$

Step 5

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

$i \cdot 14$

Step 6

Move $14$ to the left of $i$ .

$14 i$