If $$x = \frac{{\sqrt 5 + \sqrt 3 }}{{\sqrt 5 - \sqrt 3 }}$$ and $$y = \frac{{\sqrt 5 - \sqrt 3 }}{{\sqrt 5 + \sqrt 3 }}$$ then $$\left( {x + y} \right)$$ equals ? Options: A . &nbsp8 B . &nbsp16 C . &nbsp$${\text{2}}\sqrt {15} $$ D . &nbsp$${\text{2}}\left( {\sqrt 5 + \sqrt 3 } \right)$$

If $$x = \frac{{\sqrt 5 + \sqrt 3 }}{{\sqrt 5 - \sqrt 3 }}$$ and $$y = \frac{

Question

If $$x = \frac{{\sqrt 5 + \sqrt 3 }}{{\sqrt 5 - \sqrt 3 }}$$ and $$y = \frac{{\sqrt 5 - \sqrt 3 }}{{\sqrt 5 + \sqrt 3 }}$$ then $$\left( {x + y} \right)$$ equals ?

Options:

A . 8

B . 16

C . $${\text{2}}\sqrt {15} $$

D . $${\text{2}}\left( {\sqrt 5 + \sqrt 3 } \right)$$

Answer: Option A

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