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

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

Step 1

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{2}{1}$ into the numerator.

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

Factor $2$ out of $- 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\sqrt{3} \cdot - 1$

Step 2

Simplify the expression.

Move $- 1$ to the left of $\sqrt{3}$ .

$- 1 \cdot \sqrt{3}$

Rewrite $- 1 \sqrt{3}$ as $- \sqrt{3}$ .

$- \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{3}$

Decimal Form:

$- 1.73205080 \dots$