Algebra Examples

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

Step 1

Cancel the common factor of $2$ .

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Step 1.1

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

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

Step 1.2

Factor $2$ out of $- 2$ .

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

Step 1.3

Cancel the common factor.

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

Step 1.4

Rewrite the expression.

$\sqrt{3} \cdot - 1$

Step 2

Simplify the expression.

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Step 2.1

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

$- 1 \cdot \sqrt{3}$

Step 2.2

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:

$- 1.73205080 \dots$