Solve 5+frac{25sqrt{3}}{2}

$$5+ \frac{ 25 \sqrt{ 3 } }{ 2 }$$

Evaluate

$$\frac{25\sqrt{3}}{2}+5\approx 26.650635095$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{2}{2}.

$$\frac{5\times 2}{2}+\frac{25\sqrt{3}}{2}$$

Since \frac{5\times 2}{2} and \frac{25\sqrt{3}}{2} have the same denominator, add them by adding their numerators.

$$\frac{5\times 2+25\sqrt{3}}{2}$$

Do the multiplications in 5\times 2+25\sqrt{3}.

$$\frac{10+25\sqrt{3}}{2}$$

Factor

$$\frac{5 {(5 \sqrt{3} + 2)}}{2} = 26.650635094610962$$