Find the least number which must be subtracted from 2509 to make it 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 subtracted from 2509 to make it a perfect square?

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answered Feb 10, 2018 by Ankit Agarwal (28,847 points) 7 32 68
selected Feb 10, 2018 by Annu Priya
 
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Solution: First let us find the square of 2509 using long division method.

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The remainder is 9. Hence 502<2509

Hence, the number to be subtracted is 2509-2500=9

Therefore 9 should be subtracted from 2509 to get a perfect square.

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