Solve (a/4+25sqrt{3})

$$( a / 4 + 25 \sqrt { 3 } )$$

Evaluate

$$\frac{a}{4}+25\sqrt{3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 25\sqrt{3} times \frac{4}{4}.

$$\frac{a}{4}+\frac{4\times 25\sqrt{3}}{4}$$

Since \frac{a}{4} and \frac{4\times 25\sqrt{3}}{4} have the same denominator, add them by adding their numerators.

$$\frac{a+4\times 25\sqrt{3}}{4}$$

Do the multiplications in a+4\times 25\sqrt{3}.

$$\frac{a+100\sqrt{3}}{4}$$

Factor

$$\frac{a+100\sqrt{3}}{4}$$

Solution Steps

Factor out \frac{1}{4}.

$$\frac{a+100\sqrt{3}}{4}$$