Basic Math Examples

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

Step 1

Factor $2$ out of $2$ .

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

Step 2

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

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

Step 3

Factor $2$ out of $2 (1) + 2 (- \sqrt{2})$ .

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

Step 4

Cancel the common factors.

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Step 4.1

Factor $2$ out of $2$ .

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

Step 4.2

Cancel the common factor.

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

Step 4.3

Rewrite the expression.

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

Step 4.4

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

$1 - \sqrt{2}$

$1 - \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$1 - \sqrt{2}$

Decimal Form:

$- 0.41421356 \dots$

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