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

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

Evaluate

$$\frac{\sqrt{3}}{9}\approx 0.19245009$$

Solution Steps

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

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

The square of \sqrt{3} is 3.

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

Multiply -\frac{1}{3} and -1 to get \frac{1}{3}.

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

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

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

Multiply 3 and 3 to get 9.

$$\frac{\sqrt{3}}{9}$$