\(\large n = \sqrt{p(p+1) + \sqrt{p(p+1) + ...}} - \sqrt{p(p-1) - \sqrt{p(p-1) - ...}}\)

Evaluate \(n\).

**Details and Assumptions**:

\(p\) is greater than or equal to \(1\).

"\(...\)" means that the terms are reiterated and nested.

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