Precalculus Examples

$5 + \sqrt{- 36}$

Step 1

Rewrite $- 36$ as $- 1 (36)$ .

$5 + \sqrt{- 1 (36)}$

Step 2

Rewrite $\sqrt{- 1 (36)}$ as $\sqrt{- 1} \cdot \sqrt{36}$ .

$5 + \sqrt{- 1} \cdot \sqrt{36}$

Step 3

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

$5 + i \cdot \sqrt{36}$

Step 4

Rewrite $36$ as $6^{2}$ .

$5 + i \cdot \sqrt{6^{2}}$

Step 5

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

$5 + i \cdot 6$

Step 6

Move $6$ to the left of $i$ .

$5 + 6 i$