Basic Math Examples

$\sqrt{- 0.01}$

Step 1

Rewrite $- 0.01$ as $- 1 (0.01)$ .

$\sqrt{- 1 (0.01)}$

Step 2

Rewrite $\sqrt{- 1 (0.01)}$ as $\sqrt{- 1} \cdot \sqrt{0.01}$ .

$\sqrt{- 1} \cdot \sqrt{0.01}$

Step 3

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

$i \cdot \sqrt{0.01}$

Step 4

Rewrite $0.01$ as ${0.1}^{2}$ .

$i \cdot \sqrt{{0.1}^{2}}$

Step 5

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

$i \cdot 0.1$

Step 6

Move $0.1$ to the left of $i$ .

$0.1 i$