Finite Math Examples

$\frac{\sqrt{12 x^{2}}}{48}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Rewrite $12 x^{2}$ as ${(2 x)}^{2} \cdot 3$ .

Tap for more steps...

Step 1.1.1

Factor $4$ out of $12$ .

$\frac{\sqrt{4 (3) x^{2}}}{48}$

Step 1.1.2

Rewrite $4$ as $2^{2}$ .

$\frac{\sqrt{2^{2} \cdot 3 x^{2}}}{48}$

Step 1.1.3

Move $3$ .

$\frac{\sqrt{2^{2} x^{2} \cdot 3}}{48}$

Step 1.1.4

Rewrite $2^{2} x^{2}$ as ${(2 x)}^{2}$ .

$\frac{\sqrt{{(2 x)}^{2} \cdot 3}}{48}$

$\frac{\sqrt{{(2 x)}^{2} \cdot 3}}{48}$

Step 1.2

Pull terms out from under the radical.

$\frac{2 x \sqrt{3}}{48}$

$\frac{2 x \sqrt{3}}{48}$

Step 2

Cancel the common factor of $2$ and $48$ .

Tap for more steps...

Step 2.1

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

$\frac{2 (x \sqrt{3})}{48}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $2$ out of $48$ .

$\frac{2 (x \sqrt{3})}{2 \cdot 24}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (x \sqrt{3})}{2 \cdot 24}$

Step 2.2.3

Rewrite the expression.

$\frac{x \sqrt{3}}{24}$

$\frac{x \sqrt{3}}{24}$

$\frac{x \sqrt{3}}{24}$

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