Solve frac{sqrt{3}}{2}*frac{sqrt{2}}{3}

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

Evaluate

$$\frac{\sqrt{6}}{6}\approx 0.40824829$$

Solution Steps

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

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

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

$$\frac{\sqrt{6}}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{\sqrt{6}}{6}$$