Question

Find the square root by division method : 34.158 and 720.5.

Answer 1

Solution :-

Square root of 34.148 and 720.5 by division method up to three decimal places.

√34.158 = 5.844

                  5.844
             _____________ 
        5  |   34.158000 
        5  |   25
            |_______
    108  |     915
        8  |     864     
            |________
  1164  |       5180
        4  |       4656        
            |_________
11884  |         52400
       4   |         46736
            |___________
            |           5664     
            |



√720.5 = 26.842

                  26.842
             _______________ 
       2    |   720.500000
       2    |   4
             |_____
      46   |   320
        6   |   276
             |________
     528  |     4450
         8  |     4224
             |__________
   5364  |       22600
         4  |       21456
             |____________
  53682 |         114400
          2 |         107364
             |______________
             |             7036    
             |

Answer 2

Here I find the square root of both the numbers upto 2 places of decimals.
The number of digits after decimal point is odd we can make it even by adding a zero on the extreme right of the decimal part of the number.

If we want to calculate the square root upto 2 decimal places then we must have 6 digits after the decimal point & find the value upto 3 places of decimals & then take approximation.

We first put 3 zeroes after .158 to make it 6 digit.
.