Evaluate square root of -3.24

$\sqrt{- 3.24}$

Step 1

Rewrite $- 3.24$ as $- 1 (3.24)$ .

$\sqrt{- 1 (3.24)}$

Step 2

Rewrite $\sqrt{- 1 (3.24)}$ as $\sqrt{- 1} \cdot \sqrt{3.24}$ .

$\sqrt{- 1} \cdot \sqrt{3.24}$

Step 3

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

$i \cdot \sqrt{3.24}$

Step 4

Rewrite $3.24$ as ${1.8}^{2}$ .

$i \cdot \sqrt{{1.8}^{2}}$

Step 5

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

$i \cdot 1.8$

Step 6

Move $1.8$ to the left of $i$ .

$1.8 i$