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Suppose p, q, r are positive rational nu...

Suppose p, q, r are positive rational numbers such that `sqrtp + sqrtq + sqrtr` is also rational. Then

A

`sqrtp , sqrtq, sqrtr` are irrational

B

`sqrt(pq), sqrt(pr), sqrt(qr)` are rational, but `sqrtp, sqrtq, sqrtr` are irrational

C

`sqrtp , sqrtq, sqrtr` are rational

D

`sqrt(pq), sqrt(pr), sqrt(qr)` are irrational

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