Consider first two digits and then the next two digits.If there are three digits in the given number then first consider the first digit and then the take two digits together
6|4489|6x
36
12×|889|
Now the number 889 has 9 in units place so take a share number which has 9 at the end (ex.3×3=9and7×7=49)
So put 7 in the place ofx and multiply the x value with 12×(thatis127)u will get the remainder as 0
Therefore the square root of 4489 is 6x×6x i.e. 67×67=4489