Evaluate 4 square root of -5^2-3^2

$4 \sqrt{- 5^{2} - 3^{2}}$

Step 1

Simplify the expression.

Raise $5$ to the power of $2$ .

$4 \sqrt{- 1 \cdot 25 - 3^{2}}$

Multiply $- 1$ by $25$ .

$4 \sqrt{- 25 - 3^{2}}$

Raise $3$ to the power of $2$ .

$4 \sqrt{- 25 - 1 \cdot 9}$

Multiply $- 1$ by $9$ .

$4 \sqrt{- 25 - 9}$

Subtract $9$ from $- 25$ .

$4 \sqrt{- 34}$

Step 2

Rewrite $- 34$ as $- 1 (34)$ .

$4 \sqrt{- 1 (34)}$

Step 3

Rewrite $\sqrt{- 1 (34)}$ as $\sqrt{- 1} \cdot \sqrt{34}$ .

$4 (\sqrt{- 1} \cdot \sqrt{34})$

Step 4

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

$4 i \sqrt{34}$