Simplify square root of 4(9+16)

$\sqrt{4 (9 + 16)}$

Step 1

Add $9$ and $16$ .

$\sqrt{4 \cdot 25}$

Step 2

Multiply $4$ by $25$ .

$\sqrt{100}$

Step 3

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2}}$

Step 4

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

$10$