Solve 3*(-frac{sqrt{2}}{2})-2*frac{sqrt{2}}{2}

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

Evaluate

$$-\frac{5\sqrt{2}}{2}\approx -3.535533906$$

Short Solution Steps

Express 3\left(-\frac{\sqrt{2}}{2}\right) as a single fraction.

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

Cancel out 2 and 2.

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

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

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

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

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

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

$$\frac{-5\sqrt{2}}{2}$$