Solve 6/8sqrt{3}=

$$\frac { 6 } { 8 \sqrt { 3 } } =$$

Evaluate

$$\frac{\sqrt{3}}{4}\approx 0.433012702$$

Solution Steps

Rationalize the denominator of \frac{6}{8\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{6\sqrt{3}}{8\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{6\sqrt{3}}{8\times 3}$$

Cancel out 2\times 3 in both numerator and denominator.

$$\frac{\sqrt{3}}{4}$$