For integers m, n, p, q E Z, n, q0, use this and the field axioms (a) Prove m + P 9 mq+np and m. 2 mp nq nq n 9 (b) Show that the field axioms also hold for rational numbers Q. (c) Prove < mq> np for n <0,q> 0. 9 (d) Show that the sum a rational number and an irrational number is always irrational.

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A: The cube root of unity is written as:

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A: False

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A: I have given the answer in the next step. Hope you understand that

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