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

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{\sqrt{3}}{2}$ into the numerator.

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

Factor $2$ out of $- 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Multiply.

Multiply $- 1$ by $- 1$ .

$1 \sqrt{3}$

Multiply $\sqrt{3}$ by $1$ .

$\sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3}$

Decimal Form:

$1.73205080 \dots$