Evaluate ( square root of 500)/( square root of 5)

$\frac{\sqrt{500}}{\sqrt{5}}$

Step 1

Combine $\sqrt{500}$ and $\sqrt{5}$ into a single radical.

$\sqrt{\frac{500}{5}}$

Step 2

Simplify the expression.

Divide $500$ by $5$ .

$\sqrt{100}$

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2}}$

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

$10$