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Evaluating Min[2^(1/2), 3^(1/2)]

I would like a way to explicitly find the minimum of a list of exact
numbers.  Is there a way to get the above to evaluate to 2^(1/2)?

I also want to be able to select an expression in a list which is
smallest when any symbols are given numerical values.  I could do this
if I knew how to find the subscript of a member of a list which is

Thanks for any help.

Roger Kirchner

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