Find n, if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of `(root(4)2+1/(root(4)3))^n` is `sqrt(6):1```

Explanation

To solve the problem, we need to find \( n \) such that the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of \( \left( \sqrt[4]{2} + \frac{1}{\sqrt[4]{3}} \right)^n \) is \( \sqrt{6} : 1 \).

### Step-by-Step Solution:

1. **Identify the terms**:
Let \( A = \sqrt[4]{2} \) and \( B = \frac{1}{\sqrt[4]{3}} \). We need to find the fifth term from the beginning and the fifth term from the end in the expansion of \( (A + B)^n \).

2. **General Term**:
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