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

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

Evaluate

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

Short Solution Steps

Rationalize the denominator of \frac{2}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

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

The square of \sqrt{5} is 5.

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

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

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

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

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