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

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

Evaluate

$$\frac{\sqrt{6}}{3}\approx 0.816496581$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

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

$$\frac{1}{3}\sqrt{6}$$