Find the sum of all the rational terms in the expansion of
\[(\sqrt{2} + \sqrt[3]{3})^{12}.\]
Question:
Find the sum of all the rational terms in the expansion of
\[(\sqrt{2} + \sqrt[3]{3})^{12}.\]
Answer:
Let's think step by step.

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Find the sum of all the rational terms in the expansion of
\[(\sqrt{2} + \sqrt[3]{3})^{12}.\]
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