Simplify the Radical Expression ( square root of 648)/( square root of 9)

$\frac{\sqrt{648}}{\sqrt{9}}$

Step 1

Combine $\sqrt{648}$ and $\sqrt{9}$ into a single radical.

$\sqrt{\frac{648}{9}}$

Step 2

Divide $648$ by $9$ .

$\sqrt{72}$

Step 3

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 4

Pull terms out from under the radical.

$| 6 | \sqrt{2}$

Step 5

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

$6 \sqrt{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{2}$

Decimal Form:

$8.48528137 \dots$