Question

find the least number which should be subtracted from 7926 to obtain a perfect squre.find square root of resultant number
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Answer 1

We know that,

442=1936<1989

452=2025>1989

Let x be added or subtracted in 1989

Then,

x+442=1989

⇒x+1936=1989

⇒x=1989−1936

⇒x=53

53 is subtracted from 1989 making perfect square.

Hence, this is the answer.