Question

For each of the following, find the least number that must be subtracted so that the resulting number is a perfect square.
(i) 796 (ii) 1886 (iii) 23497

Answer 1

(i) 796

Taking square root of 796, we find that 12 has been left

$\therefore$ Least number to be subtracted = 12

(ii) 1886

Taking square root of 1886, we find that 37 has been left

$\therefore$ Least number to be subtracted = 37

(iii) 23497

Taking square root of 23497, we find that 88 has been left

$\therefore$ Least number to be subtracted = 88