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Old 2004-04-27, 13:35   #16
jinydu
 
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Dec 2003
Hopefully Near M48

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Quote:
Originally Posted by jinydu
That way, it would be possible to generalize the technique to cases where I don't know what x equals to beforehand.
For example, simplify the following:

cbrt(-54+sqrt(2700))+cbrt(-54-sqrt(2700))

This time, I will not give out the answer a priori (although this particular case was also handpicked carefully). Also, the technique (maybe algorithm is an even better word) you use should also work for:

cbrt(10 + sqrt(108)) + cbrt(10 - sqrt(108))
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