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The 5 digit number 5abc9 is the square of an integer where a, b, and c represent a missing digit. If all five digits are different, what is the five-digit number?

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  1. 29 May, 19:14
    0
    54289.

    Explanation:

    The square root will be a 3 digit number and as the last digit of the given number is 9 the last digit of the square root will be a 3 or a 7.

    √50000 = 223.6 and the √60000 = 244 so we try the following numbers:

    243^2 = 59049 NO

    237^2 = 56169. NO

    233^2 = 54289 YES.
  2. 29 May, 19:40
    0
    54289 = 233^2

    You know the last digit of the squared number is 3 or 7, so just try numbers ending with those from 220 to 250
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