Raise your hand if you love Inductive Reasoning!
I've wrapped my mind around this one.
Choose a counterexample that proves that the conjecture below is false. "Other than the number 1, there are no numbers less than 100 that are both perfect squares and perfect cubes."
You have a choice of 36, 64, 16, and 8.
So, I have to prove this statement false by providing a number that IS a perfect square. I've come to the conclusion that the answer is 16. Or is this a trick question? 8 is not a perfect square and therefore proves the sentence true?

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64?

64 = 4^3 and 64 = 8 ^2

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