Express each one of the following with rational denominator: `1/(3+\ sqrt(2))` (ii) `1/(sqrt(6)-\ sqrt(5))` (iii) `(16)/(sqrt(41)-\ 5)`

Explanation

To express each of the given fractions with rational denominators, we will use the technique of rationalization. This involves multiplying the numerator and the denominator by the conjugate of the denominator.

### Solution:

**(i)** For the expression \( \frac{1}{3 + \sqrt{2}} \):

1. **Identify the conjugate**: The conjugate of \( 3 + \sqrt{2} \) is \( 3 - \sqrt{2} \).
2. **Multiply numerator and denominator by the conjugate**:
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