Solve 2*frac{25sqrt{3}}{4}+105

$$2 \times \frac{ 25 \sqrt{ 3 } }{ 4 } +105$$

Evaluate

$$\frac{25\sqrt{3}}{2}+105\approx 126.650635095$$

Short Solution Steps

Cancel out 4, the greatest common factor in 2 and 4.

$$\frac{25\sqrt{3}}{2}+105$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 105 times \frac{2}{2}.

$$\frac{25\sqrt{3}}{2}+\frac{105\times 2}{2}$$

Since \frac{25\sqrt{3}}{2} and \frac{105\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{25\sqrt{3}+105\times 2}{2}$$

Do the multiplications in 25\sqrt{3}+105\times 2.

$$\frac{25\sqrt{3}+210}{2}$$

Factor

$$\frac{5 {(5 \sqrt{3} + 42)}}{2} = 126.65063509461095$$