Evaluate -1/2-( square root of 3)/2

$- \frac{1}{2} - \frac{\sqrt{3}}{2}$

Step 1

Combine the numerators over the common denominator.

$\frac{- 1 - \sqrt{3}}{2}$

Step 2

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

$\frac{- 1 (1) - \sqrt{3}}{2}$

Step 3

Factor $- 1$ out of $- \sqrt{3}$ .

$\frac{- 1 (1) - (\sqrt{3})}{2}$

Step 4

Factor $- 1$ out of $- 1 (1) - (\sqrt{3})$ .

$\frac{- 1 (1 + \sqrt{3})}{2}$

Step 5

Move the negative in front of the fraction.

$- \frac{1 + \sqrt{3}}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1 + \sqrt{3}}{2}$

Decimal Form:

$- 1.36602540 \dots$