{(with 5+ 1)/2}= (root 5+ 1)/2-[ (root 5+ 1)/2]= (root 5+ 1)/2- 1= (.
So {(with 5+ 1)/2}* (root 5+ 1)/2 = (root 5- 1)/2* (root 5+ 1)/2 = 1=[ (. . That is, [(root 5+ 1)/2] is the arithmetic mean.
The key is to calculate [(root 5+ 1)/2]= 1 and {(with 5+ 1)/2}= (root 5- 1)/2.
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