Simplify square root of 36- square root of -1- square root of 9- square root of -1

$\sqrt{36} - \sqrt{- 1} - \sqrt{9} - \sqrt{- 1}$

Step 1

Simplify each term.

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

$\sqrt{6^{2}} - \sqrt{- 1} - \sqrt{9} - \sqrt{- 1}$

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

$6 - \sqrt{- 1} - \sqrt{9} - \sqrt{- 1}$

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

$6 - i - \sqrt{9} - \sqrt{- 1}$

Rewrite $9$ as $3^{2}$ .

$6 - i - \sqrt{3^{2}} - \sqrt{- 1}$

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

$6 - i - 1 \cdot 3 - \sqrt{- 1}$

Multiply $- 1$ by $3$ .

$6 - i - 3 - \sqrt{- 1}$

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

$6 - i - 3 - i$

Step 2

Simplify by adding terms.

Subtract $3$ from $6$ .

$3 - i - i$

Subtract $i$ from $- i$ .

$3 - 2 i$