Solve frac{3/sqrt{3}}{2/2}

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

Evaluate

$$\sqrt{3}\approx 1.732050808$$

Solution Steps

Divide 2 by 2 to get 1.

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

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

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

The square of \sqrt{3} is 3.

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

Cancel out 3 and 3.

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

Anything divided by one gives itself.

$$\sqrt{3}$$