Simplify ( square root of 48)÷( square root of 3)

$\sqrt{48} \div \sqrt{3}$

Rewrite the division as a fraction.

$\frac{\sqrt{48}}{\sqrt{3}}$

Combine $\sqrt{48}$ and $\sqrt{3}$ into a single radical.

$\sqrt{\frac{48}{3}}$

Simplify the expression.

Divide $48$ by $3$ .

$\sqrt{16}$

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

$\sqrt{4^{2}}$

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

$4$