Find the Exact Value square root of -156+ square root of -2,496

$\sqrt{- 156} + \sqrt{- 2496}$

Simplify each term.

Rewrite $- 156$ as $- 1 (156)$ .

$\sqrt{- 1 (156)} + \sqrt{- 2496}$

Rewrite $\sqrt{- 1 (156)}$ as $\sqrt{- 1} \cdot \sqrt{156}$ .

$\sqrt{- 1} \cdot \sqrt{156} + \sqrt{- 2496}$

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

$i \cdot \sqrt{156} + \sqrt{- 2496}$

Rewrite $156$ as $2^{2} \cdot 39$ .

Factor $4$ out of $156$ .

$i \cdot \sqrt{4 (39)} + \sqrt{- 2496}$

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

$i \cdot \sqrt{2^{2} \cdot 39} + \sqrt{- 2496}$

Pull terms out from under the radical.

$i \cdot (2 \sqrt{39}) + \sqrt{- 2496}$

Move $2$ to the left of $i$ .

$2 \cdot i \sqrt{39} + \sqrt{- 2496}$

Rewrite $- 2496$ as $- 1 (2496)$ .

$2 i \sqrt{39} + \sqrt{- 1 (2496)}$

Rewrite $\sqrt{- 1 (2496)}$ as $\sqrt{- 1} \cdot \sqrt{2496}$ .

$2 i \sqrt{39} + \sqrt{- 1} \cdot \sqrt{2496}$

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

$2 i \sqrt{39} + i \cdot \sqrt{2496}$

Rewrite $2496$ as $8^{2} \cdot 39$ .

Factor $64$ out of $2496$ .

$2 i \sqrt{39} + i \cdot \sqrt{64 (39)}$

Rewrite $64$ as $8^{2}$ .

$2 i \sqrt{39} + i \cdot \sqrt{8^{2} \cdot 39}$

Pull terms out from under the radical.

$2 i \sqrt{39} + i \cdot (8 \sqrt{39})$

Move $8$ to the left of $i$ .

$2 i \sqrt{39} + 8 i \sqrt{39}$

Add $2 i \sqrt{39}$ and $8 i \sqrt{39}$ .

$10 i \sqrt{39}$