Simplify ( square root of 45)/( square root of 5)

$\frac{\sqrt{45}}{\sqrt{5}}$

Step 1

Combine $\sqrt{45}$ and $\sqrt{5}$ into a single radical.

$\sqrt{\frac{45}{5}}$

Step 2

Simplify the expression.

Divide $45$ by $5$ .

$\sqrt{9}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2}}$

Step 3

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

$3$