Simplify - square root of 9- square root of -2- square root of 121- square root of -2

$- \sqrt{9} - \sqrt{- 2} - \sqrt{121} - \sqrt{- 2}$

Simplify each term.

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

$- \sqrt{3^{2}} - \sqrt{- 2} - \sqrt{121} - \sqrt{- 2}$

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

$- 1 \cdot 3 - \sqrt{- 2} - \sqrt{121} - \sqrt{- 2}$

Multiply $- 1$ by $3$ .

$- 3 - \sqrt{- 2} - \sqrt{121} - \sqrt{- 2}$

Rewrite $- 2$ as $- 1 (2)$ .

$- 3 - \sqrt{- 1 (2)} - \sqrt{121} - \sqrt{- 2}$

Rewrite $\sqrt{- 1 (2)}$ as $\sqrt{- 1} \cdot \sqrt{2}$ .

$- 3 - (\sqrt{- 1} \cdot \sqrt{2}) - \sqrt{121} - \sqrt{- 2}$

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

$- 3 - (i \cdot \sqrt{2}) - \sqrt{121} - \sqrt{- 2}$

Rewrite $121$ as $11^{2}$ .

$- 3 - i \sqrt{2} - \sqrt{11^{2}} - \sqrt{- 2}$

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

$- 3 - i \sqrt{2} - 1 \cdot 11 - \sqrt{- 2}$

Multiply $- 1$ by $11$ .

$- 3 - i \sqrt{2} - 11 - \sqrt{- 2}$

Rewrite $- 2$ as $- 1 (2)$ .

$- 3 - i \sqrt{2} - 11 - \sqrt{- 1 (2)}$

Rewrite $\sqrt{- 1 (2)}$ as $\sqrt{- 1} \cdot \sqrt{2}$ .

$- 3 - i \sqrt{2} - 11 - (\sqrt{- 1} \cdot \sqrt{2})$

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

$- 3 - i \sqrt{2} - 11 - i \sqrt{2}$

Simplify by adding terms.

Subtract $11$ from $- 3$ .

$- i \sqrt{2} - 14 - i \sqrt{2}$

Subtract $i \sqrt{2}$ from $- i \sqrt{2}$ .

$- 2 i \sqrt{2} - 14$

Reorder $- 2 i \sqrt{2}$ and $- 14$ .

$- 14 - 2 i \sqrt{2}$