3. Rationalize the denominator in each expression. Express each answer in simplest form. \( \begin{array}{ll}\text { a) } \frac{2 \sqrt{3}+4}{\sqrt{3}}(\sqrt{3}) & \frac{2(3)+4 \sqrt{3}}{3}\end{array} \)

To rationalize the denominator in the expression \( \frac{2 \sqrt{3}+4}{\sqrt{3}} \), we multiply the numerator and the denominator by \(\sqrt{3}\): \[ \frac{(2 \sqrt{3}+4) \cdot \sqrt{3}}{\sqrt{3} \cdot \sqrt{3}} = \frac{2(3) + 4\sqrt{3}}{3} = \frac{6 + 4\sqrt{3}}{3}. \] Now, simplifying this gives us: \[ \frac{6}{3} + \frac{4\sqrt{3}}{3} = 2 + \frac{4\sqrt{3}}{3}. \] Therefore, the final simplified form is: \[ 2 + \frac{4\sqrt{3}}{3}. \]