3. Consider the set {a+b√2: a, b E Z} with the usual addition and multiplication. Show that this is a ring. Determine whether it is a commutative ring, whether it has unity, and whether it is a field.

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Q: Explain why the ring of integers Z under usual addition and multiplication is not a field.

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Q: Find the inverse of 6 − 5√7 in the field ℚ[ √7]

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