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

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

Evaluate

$$-\frac{\sqrt{2}}{2}+2\sqrt{6}\approx 4.191872704$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2\sqrt{6} times \frac{2}{2}.

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

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

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

Do the multiplications in 2\times 2\sqrt{6}-\sqrt{2}.

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

Factor

$$\frac{4 \sqrt{6} - \sqrt{2}}{2} = 4.191872704379808$$