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Prove the following theorem: 100 is not the cube of a positive integer. Hint 1: First rewrite the theorem in if-then form and give the

Prove the following theorem: 100 is not the cube of a positive integer.

Hint 1: First rewrite the theorem in if-then form and give the variable(s) name(s).

Hint 2: This theorem can be tediously proven with 100 cases, or cleverly proven with two cases.

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