Simplify the Radical Expression square root of 72

$\sqrt{72}$

Step 1

Rewrite $72$ as $6^{2} \cdot 2$ .

Factor $36$ out of $72$ .

$\sqrt{36 (2)}$

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

$\sqrt{6^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$| 6 | \sqrt{2}$

Step 3

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

$6 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{2}$

Decimal Form:

$8.48528137 \dots$