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Let N* be the set of positive integers. The relation ∼ on N* is defined as...

Let N* be the set of positive integers. The relation ∼ on N* is defined as follows: m ∼ n ⇐⇒ ∃k ∈ N* mn = k2

(a) Prove that ∼ is an equivalence relation.

(b) Find the equivalence classes of 2, 4, and 6.

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