Basic Math Examples

$\frac{\sqrt{18} - 12}{3}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Rewrite $18$ as $3^{2} \cdot 2$ .

Tap for more steps...

Step 1.1.1

Factor $9$ out of $18$ .

$\frac{\sqrt{9 (2)} - 12}{3}$

Step 1.1.2

Rewrite $9$ as $3^{2}$ .

$\frac{\sqrt{3^{2} \cdot 2} - 12}{3}$

$\frac{\sqrt{3^{2} \cdot 2} - 12}{3}$

Step 1.2

Pull terms out from under the radical.

$\frac{3 \sqrt{2} - 12}{3}$

$\frac{3 \sqrt{2} - 12}{3}$

Step 2

Cancel the common factor of $3 \sqrt{2} - 12$ and $3$ .

Tap for more steps...

Step 2.1

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

$\frac{3 (\sqrt{2}) - 12}{3}$

Step 2.2

Factor $3$ out of $- 12$ .

$\frac{3 (\sqrt{2}) + 3 \cdot - 4}{3}$

Step 2.3

Factor $3$ out of $3 (\sqrt{2}) + 3 (- 4)$ .

$\frac{3 (\sqrt{2} - 4)}{3}$

Step 2.4

Cancel the common factors.

Tap for more steps...

Step 2.4.1

Factor $3$ out of $3$ .

$\frac{3 (\sqrt{2} - 4)}{3 (1)}$

Step 2.4.2

Cancel the common factor.

$\frac{3 (\sqrt{2} - 4)}{3 \cdot 1}$

Step 2.4.3

Rewrite the expression.

$\frac{\sqrt{2} - 4}{1}$

Step 2.4.4

Divide $\sqrt{2} - 4$ by $1$ .

$\sqrt{2} - 4$

$\sqrt{2} - 4$

$\sqrt{2} - 4$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2} - 4$

Decimal Form:

$- 2.58578643 \dots$

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