Find Least number of 4 digits which is a perfect Square

Solution:
Least number of 4 digits = 1000

	3	1
3	10	00
3	9
61	1	00
1		61
62		39

 
Dividend = 1000
Square Root = 31
Remainder = 39


Here, Quotient = 31, Remainder = 39

`:.` Number to be added

`= 2 × "Quotient" - "Remainder" + 1`

`= 2 × 31 - 39 + 1`

`= 24`

`:.` Perfect square number = 1000 + 24 = 1024

`:. sqrt(1024) = 32`