Basic Math Examples

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

Step 1

To write $\sqrt{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 2

Combine fractions.

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Step 2.1

Combine $\sqrt{2}$ and $\frac{2}{2}$ .

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 3

Move $2$ to the left of $\sqrt{2}$ .

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$1.91421356 \dots$