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If `(alpha+sqrtbeta)` and `(alpha-sqrtbeta)` are the roots of the equation `x^2+px+q=0` where `alpha,beta`,p and q are real, then the roots of the equation `(p^2-4q)(p^2x^2+4px)-16q =0` are

A

`(1/alpha+1/sqrtbeta) and (1/alpha-1/sqrtbeta)`

B

`(1/sqrtalpha+1/beta) and (1/sqrtalpha-1/beta)`

C

`(1/sqrtalpha+1/sqrtbeta) and (1/sqrtalpha-1/sqrtbeta)`

D

`(sqrtalpha+sqrtbeta) and (sqrtalpha-sqrtbeta)`

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The correct Answer is:
A
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