Solve frac{3/sqrt{3}}{2}

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

Evaluate

$$\frac{\sqrt{3}}{2}\approx 0.866025404$$

Solution Steps

Express \frac{\frac{3}{\sqrt{3}}}{2} as a single fraction.

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

Rationalize the denominator of \frac{3}{\sqrt{3}\times 2} by multiplying numerator and denominator by \sqrt{3}.

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

The square of \sqrt{3} is 3.

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

Cancel out 3 in both numerator and denominator.

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