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bob012345

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- Can it be proven that there are no integer square roots among the numbers of the set P{0,1,2,4,5,6,7,8,9}?

This is not homework but just a mental exercise. I suspect there are no integer square roots in this set but can't prove it. I mean all digits are used once in each number. I am interested in arguments from principal and not algorithms. Note the number ##3## is missing. Thanks.

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