Find the number of integral terms in the expansion of `(5^(1/2)+7^(1/8))^(1024)`.

Explanation

To find the number of integral terms in the expansion of \((5^{1/2} + 7^{1/8})^{1024}\), we will follow these steps:

### Step 1: Identify the General Term
The general term \(T_{r+1}\) in the binomial expansion of \((a + b)^n\) is given by:
\[ T_{r+1} = \binom{n}{r} a^{n-r} b^r \]
In our case, \(a = 5^{1/2}\), \(b = 7^{1/8}\), and \(n = 1024\). Thus, the general term becomes:
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