a) Prove that (1+i), (1-i), (2+i), (2-i) are irreducible in the ring Z[i]. b) Prove that 2 and 5 are irreducible elements in the ring Z.
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### Part (a): Prove that \( (1+i), (1-i), (2+i), (2-i) \) are irreducible in the ring \( \mathbb{Z}[i] \). ** Show more…
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