Question

Find the least number which must be subtracted from $7581$ to obtain a perfect square. Find this perfect square and its square root.

Answer 1

The square root of $7581$ by division method, we find that $12$ is left as remainder.

$\therefore 12$ must be subtracted from $7581$ to get a perfect square i.e., $7581-12=7569$
(i) The least number to be subtracted $=12$
(ii) Perfect square $=7569$
(iii) and square root $=87$