Simplify square root of 16(x+5)^2

$\sqrt{16 {(x + 5)}^{2}}$

Rewrite $16 {(x + 5)}^{2}$ as ${(4 (x + 5))}^{2}$ .

$\sqrt{{(4 (x + 5))}^{2}}$

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

$4 (x + 5)$

Apply the distributive property.

$4 x + 4 \cdot 5$

Multiply $4$ by $5$ .

$4 x + 20$