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

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

Evaluate

$$\frac{\sqrt{6}}{2}\approx 1.224744871$$

Solution Steps

Cancel out 2 and 2.

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

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

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

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

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