Basic Math Examples

$\frac{\sqrt{72}}{3}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

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

Tap for more steps...

Step 1.1.1

Factor $36$ out of $72$ .

$\frac{\sqrt{36 (2)}}{3}$

Step 1.1.2

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

$\frac{\sqrt{6^{2} \cdot 2}}{3}$

$\frac{\sqrt{6^{2} \cdot 2}}{3}$

Step 1.2

Pull terms out from under the radical.

$\frac{6 \sqrt{2}}{3}$

$\frac{6 \sqrt{2}}{3}$

Step 2

Cancel the common factor of $6$ and $3$ .

Tap for more steps...

Step 2.1

Factor $3$ out of $6 \sqrt{2}$ .

$\frac{3 (2 \sqrt{2})}{3}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $3$ out of $3$ .

$\frac{3 (2 \sqrt{2})}{3 (1)}$

Step 2.2.2

Cancel the common factor.

$\frac{3 (2 \sqrt{2})}{3 \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{2 \sqrt{2}}{1}$

Step 2.2.4

Divide $2 \sqrt{2}$ by $1$ .

$2 \sqrt{2}$

$2 \sqrt{2}$

$2 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{2}$

Decimal Form:

$2.82842712 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$