Solve 5+5/sqrt{3}=

$$5+ \frac{ 5 }{ \sqrt{ 3 } } =$$

Evaluate

$$\frac{5\sqrt{3}}{3}+5\approx 7.886751346$$

Short Solution Steps

Rationalize the denominator of \frac{5}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$5+\frac{5\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{3}{3}.

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

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

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

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

$$\frac{15+5\sqrt{3}}{3}$$

Factor

$$\frac{5 \sqrt{3} {(\sqrt{3} + 1)}}{3} = 7.886751345948127$$