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Two fours (or fewer?) (Posted on 2006-04-07) Difficulty: 3 of 5
There is a way to express 64 with only two fours and no symbols beyond +, -, *, /, ^, √, !, and parenthesis, although some may be used more than once. It isn't too hard. Can you find it?

It is asserted in a reliable source that 64 can also be expressed with a single 4 using 57 square root signs, nine factorials (no double or higher factorials), and 18 sets of parentheses. I can't figure it out. Can you?

See The Solution Submitted by Jer    
Rating: 4.0000 (2 votes)

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Some Thoughts Second Part:: I "Figured" it out | Comment 7 of 16 |

I do not believe 64 can be expressed ONLY with a single 4, 57 square root signs, 9 factorials, and 18 sets of parentheses Except in a manner as I "FIGURED" below, or unless there is a number function I am unaware of.

           4                
                        
                        
                        
                  
                          
     (!)(!)(!)            
            (!)           
             (!)          
            (!)           
      (!)(!)(!)             
(But as this puzzle is not categorized under TRICKS, 
I really don't think this is the answer.)
 

  Posted by Dej Mar on 2006-04-10 00:41:35
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