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Determine between what two integers the square of a number is​

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Answer:

Only, a necessry condition. If an integer has square-root, then the last digit is either 0 (even number of zeros) or 1 or 9 ( and the tenth digit must be even) or 4 or 6 ( and the number consisting of the last two digits is divisible by 4) or 5 (and the tenth digit must be 2).

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