Simplify the Radical Expression ( square root of 72)/( square root of 2)

$\frac{\sqrt{72}}{\sqrt{2}}$

Combine $\sqrt{72}$ and $\sqrt{2}$ into a single radical.

$\sqrt{\frac{72}{2}}$

Divide $72$ by $2$ .

$\sqrt{36}$

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2}}$

Pull terms out from under the radical.

$| 6 |$

The absolute value is the distance between a number and zero. The distance between $0$ and $6$ is $6$ .

$6$