Solve frac{3sqrt{2}-sqrt{6}}{4}-sqrt{2}

$$\frac { 3 \sqrt { 2 } - \sqrt { 6 } } { 4 } - \sqrt { 2 }$$

Evaluate

$$\frac{-\sqrt{2}-\sqrt{6}}{4}\approx -0.965925826$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply \sqrt{2} times \frac{4}{4}.

$$\frac{3\sqrt{2}-\sqrt{6}}{4}-\frac{4\sqrt{2}}{4}$$

Since \frac{3\sqrt{2}-\sqrt{6}}{4} and \frac{4\sqrt{2}}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\sqrt{2}-\sqrt{6}-4\sqrt{2}}{4}$$

Do the calculations in 3\sqrt{2}-\sqrt{6}-4\sqrt{2}.

$$\frac{-\sqrt{2}-\sqrt{6}}{4}$$

Factor

$$\frac{-\sqrt{2} - \sqrt{6}}{4} = -0.9659258262890682$$