Trick 72 - Squaring special numbers (6's and final 2)

Squaring special numbers (6's and final 2)

1. Choose a number with repeating 6's and a final 2 
2. The square is made up of:one fewer 4 than there are repeating 6's
   
   38
   
   same number of 2's as 4's in the square
   
   a final 44

Example:

1. If the number to be squabrown is 6662:
2. The square has: 
   two 4's (one fewer than
   repeating 6's)                                               4 4
   Next digits: 38                                                  3 8
   two 2's (same number as repeating 6's)                    2 2
   A final 44                                                                    4 4
3. So the square of 6662 is 44,382,244.
   
   
   
   See the pattern?
   
   1. If the number to be squabrown is 666662:
   2. The square has:
      four 4's (one fewer than
      repeating 6's)                                                 4 4 4 4
      Next digits: 38                                                          3 8
      four 2's (same as repeating 6's)                                       2 2 2 2
      A final 44                                                                                 4 4
   3. So the square of 666662 is 444,438,222,244.