Solve 24sqrt{2}+frac{sqrt{6}}{4}

$$24 \sqrt { 2 } + \frac { \sqrt { 6 } } { 4 }$$

Evaluate

$$\frac{\sqrt{6}}{4}+24\sqrt{2}\approx 34.553497933$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 24\sqrt{2} times \frac{4}{4}.

$$\frac{4\times 24\sqrt{2}}{4}+\frac{\sqrt{6}}{4}$$

Since \frac{4\times 24\sqrt{2}}{4} and \frac{\sqrt{6}}{4} have the same denominator, add them by adding their numerators.

$$\frac{4\times 24\sqrt{2}+\sqrt{6}}{4}$$

Do the multiplications in 4\times 24\sqrt{2}+\sqrt{6}.

$$\frac{96\sqrt{2}+\sqrt{6}}{4}$$

Factor

$$\frac{\sqrt{6} + 96 \sqrt{2}}{4} = 34.55349793265008$$