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Question

find the least number that must be added to 16160 so as to get a perfect square

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Solution

First finding the square root of 16160 by long division method;
127 1 1 61 60 +1 1 2 2 0 61 +2 44 247 17 60 1729 31
So, the remainder is 31.
And 1272 = 16129
So, 1272<16160
Next perfect square number is 1282 = 16384
Hence the least number to be added is 1282-16160
16384-16160 = 224

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