Evaluate square root of -700

$\sqrt{- 700}$

Step 1

Rewrite $- 700$ as $- 1 (700)$ .

$\sqrt{- 1 (700)}$

Step 2

Rewrite $\sqrt{- 1 (700)}$ as $\sqrt{- 1} \cdot \sqrt{700}$ .

$\sqrt{- 1} \cdot \sqrt{700}$

Step 3

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

$i \cdot \sqrt{700}$

Step 4

Rewrite $700$ as $10^{2} \cdot 7$ .

Factor $100$ out of $700$ .

$i \cdot \sqrt{100 (7)}$

Rewrite $100$ as $10^{2}$ .

$i \cdot \sqrt{10^{2} \cdot 7}$

Step 5

Pull terms out from under the radical.

$i \cdot (10 \sqrt{7})$

Step 6

Move $10$ to the left of $i$ .

$10 i \sqrt{7}$