Simplify square root of 16- square root of -36- square root of 25+ square root of -16

$\sqrt{16} - \sqrt{- 36} - \sqrt{25} + \sqrt{- 16}$

Simplify each term.

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2}} - \sqrt{- 36} - \sqrt{25} + \sqrt{- 16}$

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

$4 - \sqrt{- 36} - \sqrt{25} + \sqrt{- 16}$

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

$4 - \sqrt{- 1 (36)} - \sqrt{25} + \sqrt{- 16}$

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

$4 - (\sqrt{- 1} \cdot \sqrt{36}) - \sqrt{25} + \sqrt{- 16}$

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

$4 - (i \cdot \sqrt{36}) - \sqrt{25} + \sqrt{- 16}$

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

$4 - (i \cdot \sqrt{6^{2}}) - \sqrt{25} + \sqrt{- 16}$

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

$4 - (i \cdot 6) - \sqrt{25} + \sqrt{- 16}$

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

$4 - (6 \cdot i) - \sqrt{25} + \sqrt{- 16}$

Multiply $6$ by $- 1$ .

$4 - 6 i - \sqrt{25} + \sqrt{- 16}$

Rewrite $25$ as $5^{2}$ .

$4 - 6 i - \sqrt{5^{2}} + \sqrt{- 16}$

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

$4 - 6 i - 1 \cdot 5 + \sqrt{- 16}$

Multiply $- 1$ by $5$ .

$4 - 6 i - 5 + \sqrt{- 16}$

Rewrite $- 16$ as $- 1 (16)$ .

$4 - 6 i - 5 + \sqrt{- 1 (16)}$

Rewrite $\sqrt{- 1 (16)}$ as $\sqrt{- 1} \cdot \sqrt{16}$ .

$4 - 6 i - 5 + \sqrt{- 1} \cdot \sqrt{16}$

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

$4 - 6 i - 5 + i \cdot \sqrt{16}$

Rewrite $16$ as $4^{2}$ .

$4 - 6 i - 5 + i \cdot \sqrt{4^{2}}$

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

$4 - 6 i - 5 + i \cdot 4$

Move $4$ to the left of $i$ .

$4 - 6 i - 5 + 4 i$

Simplify by adding terms.

Subtract $5$ from $4$ .

$- 1 - 6 i + 4 i$

Add $- 6 i$ and $4 i$ .

$- 1 - 2 i$