1 ) Group the digits in pairs, starting with the
digit in the units place .Each pair and the
remaining digit ( if any ) is called period.
2) Find the largest number whose square is
equal to just less than the first period.Take
this number as the divisor and as the quotient.
3) Subtract the product of the divisor and the
quotient from the first period and bring down
the next period to the rightnof the remainder .
This becomes the new dividend.
4) Now, the new divisor is obtained by taking
two times the quotient and annexing with it
a suitable digit which is also taken as the next
digit of the quotient chose in such a way that
the product of the new divisor and this digit is
equal to or just less than the new dividend.
5) Repeat steps 2,3 and 4 till the periods
have been taken up.
1 ) 2 37 . 61 50 00 00 (15.4147
1
______________
25)137
125
__________
304)1261
1216
__________
3081)14550
13081
____________
30824)146900
123296
_____________
308287) 2360400
2158009
_______________
202391
Therefore,
Sqrt(237.615) = 15.4147
= 15.415 Ans( corrected to 3 decimal places )
