Basic Math Examples

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

Step 1

Reduce the expression $\frac{1 + \sqrt{2}}{1 + \sqrt{2}}$ by cancelling the common factors.

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Step 1.1

Cancel the common factor.

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

Step 1.2

Rewrite the expression.

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

Step 2

Rewrite the expression.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 0.17157287 \dots$