Simplify ( square root of 8)÷( square root of 2)

$\sqrt{8} \div \sqrt{2}$

Rewrite the division as a fraction.

$\frac{\sqrt{8}}{\sqrt{2}}$

Combine $\sqrt{8}$ and $\sqrt{2}$ into a single radical.

$\sqrt{\frac{8}{2}}$

Simplify the expression.

Divide $8$ by $2$ .

$\sqrt{4}$

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

$\sqrt{2^{2}}$

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

$2$