Rationales the denominator and simplify: (i)`(1+sqrt(2))/(3-2sqrt(2))`
(ii) `(2sqrt(6)- sqrt(5))/(3sqrt(5)- 2sqrt(6))`

Explanation

Let's solve the given problems step by step.

### (i) Rationalize the denominator of \((1+\sqrt{2})/(3-2\sqrt{2})\)

**Step 1: Multiply by the conjugate of the denominator.**
To rationalize the denominator, we multiply both the numerator and denominator by the conjugate of the denominator, which is \( (3 + 2\sqrt{2}) \).

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