Solve 1/sqrt{3}*frac{sqrt{3}}{sqrt{3}}

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

Evaluate

$$\frac{\sqrt{3}}{3}\approx 0.577350269$$

Solution Steps

Divide \sqrt{3} by \sqrt{3} to get 1.

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

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

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

The square of \sqrt{3} is 3.

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

Express \frac{\sqrt{3}}{3}\times 1 as a single fraction.

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