Simplify square root of 72÷(3+5)+5*2^2

$\sqrt{72 \div (3 + 5)} + 5 \cdot 2^{2}$

Simplify each term.

Add $3$ and $5$ .

$\sqrt{72 \div 8} + 5 \cdot 2^{2}$

Divide $72$ by $8$ .

$\sqrt{9} + 5 \cdot 2^{2}$

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

$\sqrt{3^{2}} + 5 \cdot 2^{2}$

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

$3 + 5 \cdot 2^{2}$

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

$3 + 5 \cdot 4$

Multiply $5$ by $4$ .

$3 + 20$

Add $3$ and $20$ .

$23$