1. The problem asks to simplify the sum: $$5(\sqrt[3]{x}) + 9(\sqrt[3]{x})$$. 2. Both terms have the same radical part, which is the cube root of $x$, written as $\sqrt[3]{x}$. 3. Since the radicals are the same, we can add the coefficients: $$5 + 9 = 14$$. 4. Therefore, the sum is: $$14(\sqrt[3]{x})$$. 5. None of the other options involving sixth roots or powers inside the root apply here because the radicals are identical and can be directly added. Final answer: $$14(\sqrt[3]{x})$$.