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2015-06-18T20:34:27+05:30

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We know that  40 * 40 = 1600.  So we need to add 1600 - 1579 = 21 to make it a perfect square.

We have the given number as  1579..   The two digits 79 form one unit.  Then the two digits 15 form one pair.  15 is between squares of 3 and 4.  
 
         39
       =======
  3   |  15  79
           9
         =====
  69     6  79
          6  21
===========

hence, the square root of 1579 is between 39 and 40..  So we take the square of 40  minus 1579.  We get the answer.

2 5 2