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

$5 \sqrt{45} \div \sqrt{5}$

Rewrite the division as a fraction.

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

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

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

Simplify the expression.

Divide $45$ by $5$ .

$5 \sqrt{9}$

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

$5 \sqrt{3^{2}}$

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

$5 \cdot 3$

Multiply $5$ by $3$ .

$15$