Simplify: (i)`(7+3 sqrt(5))/(3+ sqrt(5))-(7-3 sqrt(5))/(3- sqrt(5))` (ii) `1/(2+sqrt(3) )+2/(sqrt(5)- sqrt(3))+1/(2- sqrt(5))`

Explanation

Let's simplify the given expressions step by step.

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

**Step 1: Find a common denominator.**
The common denominator for the two fractions is \((3 + \sqrt{5})(3 - \sqrt{5})\).

**Step 2: Rewrite the expression with the common denominator.**
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