If alpha, beta are the roots of the equa...

If alpha, beta are the roots of the equation `x^2-4x+8 = 0` then for any n in N, `(alpha)^(2n)+(beta)^(2n) = `

A

`2^(2n+1)cos(frac{npi}{2})`

B

`2^3ncos(frac{npi}{2})`

C

`2^(3n+1)cos(frac{npi}{2})`

D

`2^3ncos(frac{npi}{4})`

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