Divide ( square root of 75)÷( square root of 3)

$\sqrt{75} \div \sqrt{3}$

Step 1

Rewrite the division as a fraction.

$\frac{\sqrt{75}}{\sqrt{3}}$

Step 2

Combine $\sqrt{75}$ and $\sqrt{3}$ into a single radical.

$\sqrt{\frac{75}{3}}$

Step 3

Divide $75$ by $3$ .

$\sqrt{25}$

Step 4

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2}}$

Step 5

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

$5$