perplexus.info :: Just Math : Rationalize the denominator

Rationalize the denominator (Posted on 2008-12-14)

Rationalize the denominator of:

           1           
³√(a) + ³√(b) +  ³√(c)

Submitted by pcbouhid

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Solution: (Hide)

The denominator was found by Praneeth and Dej Mar:

a + b + c - 3*(abc)^1/3.

However, the numerator is:
(a^2/3 + b^2/3 + c^2/3 - ab^1/3 - ac^1/3 - bc^1/3)
multiplied by the numerator given by Dej Mar.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): a solution	Dej Mar	2008-12-16 23:38:44
re: a solution	pcbouhid	2008-12-16 13:05:47
a solution	Praneeth	2008-12-15 02:14:48

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