Find number of rational terms in `(sqrt2+3^(1/3)+5^(1/6))^10`

Explanation

To find the number of rational terms in the expression \((\sqrt{2} + 3^{1/3} + 5^{1/6})^{10}\), we can follow these steps:

### Step 1: Rewrite the expression
We can express the terms in a more manageable form:
\[ \sqrt{2} = 2^{1/2}, \quad 3^{1/3} = 3^{1/3}, \quad 5^{1/6} = 5^{1/6} \]
Thus, the expression becomes:
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