Solve 6*frac{sqrt{2}}{2}-(-4/5)*frac{sqrt{2}}{2})

$$6 \cdot \frac { \sqrt { 2 } } { 2 } - ( - \frac { 4 } { 5 } ) \cdot \frac { \sqrt { 2 } } { 2 } )$$

Evaluate

$$\frac{17\sqrt{2}}{5}\approx 4.808326112$$

Solution Steps

Cancel out 2, the greatest common factor in 6 and 2.

$$3\sqrt{2}-\left(-\frac{4}{5}\times \frac{\sqrt{2}}{2}\right)$$

Multiply -\frac{4}{5} times \frac{\sqrt{2}}{2} by multiplying numerator times numerator and denominator times denominator.

$$3\sqrt{2}-\frac{-4\sqrt{2}}{5\times 2}$$

Cancel out 2 in both numerator and denominator.

$$3\sqrt{2}-\frac{-2\sqrt{2}}{5}$$

Combine 3\sqrt{2} and -\frac{-2\sqrt{2}}{5} to get \frac{17}{5}\sqrt{2}.

$$\frac{17}{5}\sqrt{2}$$