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9. (20 points) This question has two parts. (a) (10 points) Suppose p is a prime number. Prove that Q(p2/5) = Q(p1/5). (b) (10 points)

9. (20 points) This question has two parts. (a) (10 points) Suppose p is a prime number. Prove that Q(p2/5) = Q(p1/5). (b) (10 points) Using part (a) or otherwise, prove that 3:5 p2 is irreducible over

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