Basic Math Examples

$- \frac{1}{2} + \frac{\sqrt{6}}{2}$

Step 1

Combine the numerators over the common denominator.

$\frac{- 1 + \sqrt{6}}{2}$

Step 2

Rewrite $- 1$ as $- 1 (1)$ .

$\frac{- 1 (1) + \sqrt{6}}{2}$

Step 3

Factor $- 1$ out of $\sqrt{6}$ .

$\frac{- 1 (1) - 1 (- \sqrt{6})}{2}$

Step 4

Factor $- 1$ out of $- 1 (1) - 1 (- \sqrt{6})$ .

$\frac{- 1 (1 - \sqrt{6})}{2}$

Step 5

Move the negative in front of the fraction.

$- \frac{1 - \sqrt{6}}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1 - \sqrt{6}}{2}$

Decimal Form:

$0.72474487 \dots$