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

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

Evaluate

$$\frac{\sqrt{2}}{4}+3\sqrt{6}\approx 7.702022619$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3\sqrt{6} times \frac{4}{4}.

$$\frac{4\times 3\sqrt{6}}{4}+\frac{\sqrt{2}}{4}$$

Since \frac{4\times 3\sqrt{6}}{4} and \frac{\sqrt{2}}{4} have the same denominator, add them by adding their numerators.

$$\frac{4\times 3\sqrt{6}+\sqrt{2}}{4}$$

Do the multiplications in 4\times 3\sqrt{6}+\sqrt{2}.

$$\frac{12\sqrt{6}+\sqrt{2}}{4}$$

Factor

$$\frac{\sqrt{2} + 12 \sqrt{6}}{4} = 7.702022618942808$$