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:
The Golden Section.
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2004-04-27, 03:18
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7
wblipp
"William"
May 2003
New Haven
2
^{3}
·5·59 Posts
Quote:
Originally Posted by
jinydu
Anyway, here's the challenge. Prove that
cube root(10+sqrt(108)) + cube root(10-sqrt(108)) = 2
(1+sqrt(3))^3 = 10+sqrt(108)
(1-sqrt(3))^3 = 10-sqrt(108)
So the expression is
1+sqrt(3)+1-sqrt(3) = 2
William
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