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

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

Evaluate

$$\frac{3\sqrt{6}}{2}\approx 3.674234614$$

Solution Steps

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

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

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

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

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

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