Add and Subtract Square Roots: exemplo 9.40

$\begin{array}{cccc}& & & \frac{2}{3}\sqrt{48}-\frac{3}{4}\sqrt{12}\hfill \\ \\ \\ \text{Simplify the radicals.}\hfill & & & \frac{2}{3}\sqrt{16}·\sqrt{3}-\frac{3}{4}\sqrt{4}·\sqrt{3}\hfill \\ & & & \frac{2}{3}·4·\sqrt{3}-\frac{3}{4}·2·\sqrt{3}\hfill \\ & & & \frac{8}{3}\sqrt{3}-\frac{3}{2}\sqrt{3}\hfill \\ \\ \\ \begin{array}{c}\text{Find a common denominator to subtract the}\hfill \\ \text{coefficients of the like radicals.}\hfill \end{array}\hfill & & & \frac{16}{6}\sqrt{3}-\frac{9}{6}\sqrt{3}\hfill \\ \\ \\ \text{Simplify.}\hfill & & & \frac{7}{6}\sqrt{3}\hfill \end{array}$