Thursday, 2 January 2014

mathematics - Find n23 with the least multiplication


n is an arbitrary real number. By only using multiplication, you are asked to find n23 with the least amount of multiplication operation.


Note: You can only use n or the results you can with multiplications as examplified below.


For example if this question is asked for n4, the answer would be 2:


1.



n×n=n2



2.




n2×n2=n4




Answer



1.



n×n=n2



2.




n×n2=n3



3.



n3×n2=n5



4.



n5×n5=n10




5.



n10×n10=n20



6.



n20×n3=n23



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