MathGroup Archive 1995

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I would like to be able to choose the largest "positive" root in expressions
like the one below.  All the variables (p2, r, and w) are positive, real
numbers.  Can anyone give me a method to do that?  Thanks. 
                        3               3
                  -27 p2              p2
Out[31]= {{x20 -> -------}, {x20 -> -------}}
                      2                 2
                  16 r  w           16 r  w

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