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

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

Evaluate

$$\frac{\sqrt{5}\left(\sqrt{15}+2\right)}{5}\approx 2.626477999$$

Short Solution Steps

Express 2\times \frac{\sqrt{5}}{5} as a single fraction.

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

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

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

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

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

Factor

$$\frac{\sqrt{5} {(\sqrt{3} \sqrt{5} + 2)}}{5} = 2.6264779985687934$$