The number of irrational terms in the expansion of
`(root(8)(5)+ root(6)(2))^(100)` is

Explanation

To find the number of irrational terms in the expansion of \((\sqrt[8]{5} + \sqrt[6]{2})^{100}\), we can follow these steps:

### Step 1: Identify the Binomial Expansion
The expression can be expanded using the Binomial Theorem, which states:
\[ (a + b)^n = \sum_{r=0}^{n} \binom{n}{r} a^{n-r} b^r \]
Here, \(a = \sqrt[8]{5}\), \(b = \sqrt[6]{2}\), and \(n = 100\).
...