Simplify each of the following by rationalizing the denominator: I(I)`(7+3sqrt(5))/(7-3sqrt(5))` (ii) `(2\ sqrt(3)-\ sqrt(5))/(2sqrt(2)+\ 3sqrt(3))`

Explanation

Let's simplify the given expressions by rationalizing the denominators step by step.

### Part (i): Simplify \(\frac{7 + 3\sqrt{5}}{7 - 3\sqrt{5}}\)

**Step 1: Multiply by the Conjugate**
To rationalize the denominator, we multiply the numerator and the denominator by the conjugate of the denominator, which is \(7 + 3\sqrt{5}\).

\[
...