Solve frac{sqrt{3}+frac{sqrt{3}}{3}}{1-(sqrt{3})(frac{sqrt{3}}{3})}

$$\frac { \sqrt { 3 } + \frac { \sqrt { 3 } } { 3 } } { 1 - ( \sqrt { 3 } ) ( \frac { \sqrt { 3 } } { 3 } ) }$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Combine \sqrt{3} and \frac{\sqrt{3}}{3} to get \frac{4}{3}\sqrt{3}.

$$\frac{\frac{4}{3}\sqrt{3}}{1-\sqrt{3}\times \frac{\sqrt{3}}{3}}$$

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

$$\frac{\frac{4}{3}\sqrt{3}}{1-\frac{\sqrt{3}\sqrt{3}}{3}}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$\frac{\frac{4}{3}\sqrt{3}}{1-\frac{3}{3}}$$

Divide 3 by 3 to get 1.

$$\frac{\frac{4}{3}\sqrt{3}}{1-1}$$

Subtract 1 from 1 to get 0.

$$\frac{\frac{4}{3}\sqrt{3}}{0}$$

Divide \frac{4}{3}\sqrt{3} by 0 to get \text{Indeterminate}\sqrt{3}.

$$\text{Indeterminate}\sqrt{3}$$

Factor

$$\text{Indeterminate}$$