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Paper and pencil method :

Example: What is the square root of 152.2756 = ?

           1  2. 3  4

       |  01 52.27 56                        1

x         01                   1*1=1         1

          00 52                              22

2x        00 44                22*2=44        2

             08 27                           243

24x          07 29             243*3=729       3

                98 56                        2464

246x            98 56          2464*4=9856      4

                00 00          Algorithm terminates: answer is 12.34