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Question
Find the greatest number of 5 digits which is a perfect square.
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Solution
The greatest number with five digits is 99999. To find the greatest square number with five digits, we must find the smallest number that must be subtracted from 99999 in order to make a perfect square. For that, we have to find the square root of 99999 by the long division method as follows:
Hence, we must subtract 143 from 99999 to get a perfect square:
99999 − 143 = 99856
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