Simplify ( square root of 8- square root of 2)/( square root of 2)

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

Simplify the numerator.

Rewrite $8$ as $2^{2} \cdot 2$ .

Factor $4$ out of $8$ .

$\frac{\sqrt{4 (2)} - \sqrt{2}}{\sqrt{2}}$

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

$\frac{\sqrt{2^{2} \cdot 2} - \sqrt{2}}{\sqrt{2}}$

Pull terms out from under the radical.

$\frac{2 \sqrt{2} - \sqrt{2}}{\sqrt{2}}$

Subtract $\sqrt{2}$ from $2 \sqrt{2}$ .

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

Cancel the common factor of $\sqrt{2}$ .

Cancel the common factor.

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

Rewrite the expression.

$1$