Simplify/rationalize the following: (2)/(sqrt (3)) (sqrt (3))/(2) 2sqrt (3) 3 (2sqrt (3))/(3)

To simplify or rationalize the given expressions, we need to eliminate the square root in the denominator. Here are the simplified forms:<br /><br />1. $\frac{2}{\sqrt{3}}$ can be rationalized by multiplying the numerator and denominator by $\sqrt{3}$:<br /> \[<br /> \frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{2\sqrt{3}}{3}<br /> \]<br /><br />2. $\frac{\sqrt{3}}{2}$ is already in its simplest form.<br /><br />3. $2\sqrt{3}$ is already in its simplest form.<br /><br />4. $3$ is already in its simplest form.<br /><br />5. $\frac{2\sqrt{3}}{3}$ is already in its simplest form.<br /><br />So, the simplified forms are:<br />1. $\frac{2\sqrt{3}}{3}$<br />2. $\frac{\sqrt{3}}{2}$<br />3. $2\sqrt{3}$<br />4. $3$<br />5. $\frac{2\sqrt{3}}{3}$