Solve:
$\frac{\sqrt{24}}{8} + \frac{\sqrt{54}}{9}$ .

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Solution

Solving $\frac{\sqrt{24}}{8} + \frac{\sqrt{54}}{9}$
$= \frac{\sqrt{6 * 4}}{8} + \frac{\sqrt{6 * 9}}{9}$
$= \frac{2 \sqrt{6}}{8} + \frac{3 \sqrt{6}}{9}$
$= \frac{\sqrt{6}}{4} + \frac{\sqrt{6}}{3}$
$= \frac{(3 + 4) \sqrt{6}}{12}$
$= \frac{7 \sqrt{6}}{12}$

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