Algebra Level pending

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

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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