Solve -1/2*1/sqrt{3}=

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

Evaluate

$$-\frac{\sqrt{3}}{6}\approx -0.288675135$$

Solution Steps

Rationalize the denominator of \frac{1}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$-\frac{1}{2}\times \frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

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

Multiply -\frac{1}{2} times \frac{\sqrt{3}}{3} by multiplying numerator times numerator and denominator times denominator.

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

Multiply 2 and 3 to get 6.

$$\frac{-\sqrt{3}}{6}$$