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**:
The expression can be rewritten as \( \left( 2\sqrt{4} + \frac{1}{\sqrt{4}3} \right)^n \).
Here, \( x = 2\sqrt{4} = 4 \) and \( y = \frac{1}{\sqrt{4}3} = \frac{1}{6} \).

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