If $$x = \sqrt a + \frac{1}{{\sqrt a }}{\text{,}}$$ $$y = \sqrt a

Question

If $$x = \sqrt a + \frac{1}{{\sqrt a }}{\text{,}}$$ $$y = \sqrt a - \frac{1}{{\sqrt a }}{\text{,}}$$ $$\left( {a > 0} \right)$$ then the value of x4 + y4 - 2x2y2 is?

Options:

A . 16

B . 20

C . 10

D . 5

Answer: Option A

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