Solve (frac{sqrt{2}-sqrt{6}}{2})*3/4

$$( \frac { \sqrt { 2 } - \sqrt { 6 } } { 2 } ) \times \frac { 3 } { 4 }$$

Evaluate

$$\frac{3\left(\sqrt{2}-\sqrt{6}\right)}{8}\approx -0.388228568$$

Solution Steps

Multiply \frac{\sqrt{2}-\sqrt{6}}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(\sqrt{2}-\sqrt{6}\right)\times 3}{2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{\left(\sqrt{2}-\sqrt{6}\right)\times 3}{8}$$

Use the distributive property to multiply \sqrt{2}-\sqrt{6} by 3.

$$\frac{3\sqrt{2}-3\sqrt{6}}{8}$$