Solve 1/sqrt{3}+1/sqrt{3}

$$\frac{ 1 }{ \sqrt{ 3 } } + \frac{ 1 }{ \sqrt{ 3 } }$$

Evaluate

$$\frac{2\sqrt{3}}{3}\approx 1.154700538$$

Solution Steps

Rationalize the denominator of \frac{1}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}+\frac{1}{\sqrt{3}}$$

The square of \sqrt{3} is 3.

$$\frac{\sqrt{3}}{3}+\frac{1}{\sqrt{3}}$$

Rationalize the denominator of \frac{1}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

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

The square of \sqrt{3} is 3.

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

Combine \frac{\sqrt{3}}{3} and \frac{\sqrt{3}}{3} to get \frac{2}{3}\sqrt{3}.

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