Solve frac{2sqrt{7}}{3}+2

$$\frac{ 2 \sqrt{ 7 } }{ 3 } +2$$

Evaluate

$$\frac{2\left(\sqrt{7}+3\right)}{3}\approx 3.763834207$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{3}{3}.

$$\frac{2\sqrt{7}}{3}+\frac{2\times 3}{3}$$

Since \frac{2\sqrt{7}}{3} and \frac{2\times 3}{3} have the same denominator, add them by adding their numerators.

$$\frac{2\sqrt{7}+2\times 3}{3}$$

Do the multiplications in 2\sqrt{7}+2\times 3.

$$\frac{2\sqrt{7}+6}{3}$$

Factor

$$\frac{2 {(\sqrt{7} + 3)}}{3} = 3.763834207376394$$