Question

Find the least number which must be subtracted from each of the following number so as to get a perfect square. Also find the square root of the perfect square so
obtained.
(ii) 1989​

Answer 1

Answer

We have,

1989 be make perfect square.

We know that,

44  

2

=1936<1989

45  

2

=2025>1989

Let x be added or subtracted in 1989

Then,

x+44  

2

=1989

⇒x+1936=1989

⇒x=1989−1936

⇒x=53

53 is subtracted from 1989 making perfect square.

Hence, this is the answer.