Basic Math Examples

$- 2 \sqrt{2} - \sqrt{18}$

Step 1

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

Tap for more steps...

Step 1.1

Factor $9$ out of $18$ .

$- 2 \sqrt{2} - \sqrt{9 (2)}$

Step 1.2

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

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

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

Step 2

Pull terms out from under the radical.

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

Step 3

Multiply $3$ by $- 1$ .

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

Step 4

Subtract $3 \sqrt{2}$ from $- 2 \sqrt{2}$ .

$- 5 \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- 5 \sqrt{2}$

Decimal Form:

$- 7.07106781 \dots$

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