If $$m = \sqrt {5 + \sqrt {5 + \sqrt {5.....} } } $$ and $$n = \sqrt {5

Question

If $$m = \sqrt {5 + \sqrt {5 + \sqrt {5.....} } } $$ and $$n = \sqrt {5 - \sqrt {5 - \sqrt {5.....} } } $$ then among the following the relation between m & n holds is?

Options:

A . m - n + 1 = 0

B . m + n + 1 = 0

C . m + n - 1 = 0

D . m - n - 1 = 0

Answer: Option D

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