perplexus.info :: Numbers : Radically confusing

Radically confusing (Posted on 2005-05-14)

Simplify the product A*B*C*D*E*F

A = (√2)
B = (√(2-√2))
C = (√(2-√(2+√2)))
D = (√(2-√(2+√(2+√2))))
E = (√(2-√(2+√(2+√(2+√2)))))
F = (√(2+√(2+√(2+√(2+√2)))))

See The Solution Submitted by Jer

Rating: 1.4286 (7 votes)

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The most I can simplify...

| Comment 4 of 16 |

2*sqrt(2)*sqrt(2-sqrt(2))*sqrt(2-sqrt(2+sqrt(2)))-2*sqrt(2)+2 = 2ABC-2A+2 = 0.1623

I get the same numerical answer as charlie, but I can't see how to simplify the expression more.

Posted by ajosin on 2005-05-14 17:36:23

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