Find the least number which must be added to 7900 to obtain a perfect square?

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asked Feb 10, 2018 in Mathematics by Annu Priya (18,055 points) 24 45 82

Find the least number which must be added to 7900 to obtain a perfect square?

1 Answer

+1 vote
answered Feb 10, 2018 by Ankit Agarwal (28,847 points) 7 31 67
selected Feb 10, 2018 by Annu Priya
 
Best answer

First, let us find the square of 7900 using long division method.

image

The remainder is 156. Hence 882<7900

The next perfect square number is 892=7921>7900

Hence, the number to be added is 7921-7900=21

Therefore 21 should be added to 7900 to get a perfect square.

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