Divide ( square root of 32)÷( square root of 2)

$\sqrt{32} \div \sqrt{2}$

Rewrite the division as a fraction.

$\frac{\sqrt{32}}{\sqrt{2}}$

Combine $\sqrt{32}$ and $\sqrt{2}$ into a single radical.

$\sqrt{\frac{32}{2}}$

Divide $32$ by $2$ .

$\sqrt{16}$

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2}}$

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

$4$