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

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

Evaluate

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

Solution Steps

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

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

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

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

Multiply 2 and 2 to get 4.

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