Solve 1/2{frac{1/2sqrt{3}}}sqrt{2}

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

Evaluate

$$\frac{\sqrt{6}}{4}\approx 0.612372436$$

Solution Steps

Divide 1 by \frac{2}{\frac{1}{2}\sqrt{3}} by multiplying 1 by the reciprocal of \frac{2}{\frac{1}{2}\sqrt{3}}.

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

Divide \frac{1}{2}\sqrt{3} by 2 to get \frac{1}{4}\sqrt{3}.

$$\frac{1}{4}\sqrt{3}\sqrt{2}$$

To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.

$$\frac{1}{4}\sqrt{6}$$