Question

Find the least number that must be subtracted from 1989 so as get a perfect square. Also find the square root of the perfect square.

Answer 1

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,

$x+{44}^2=1989$

$\Rightarrow x+1936=1989$

$\Rightarrow x=1989-1936$

$\Rightarrow x=53$

53 is subtracted from 1989 making perfect square.

Hence, this is the answer.