Question

find the least number that should be subtracted from 537 to get a perfect square​

Answer 1

Answer:

​

=36.05

Observe that the square root of 1300 is slightly more than 36.

and

(36)

2

 = 1296

∴ The smallest number to be subtracted from 1300 to make it a perfect square = 1300 - 1296 = 4.