Hi; When I replace {x,y,z} with {u,v,w} in the equation below, the answer does not seem to be exactly correct. For example, shouldn't Sqrt[v^2] reduce to simply v and (w^4)^(1/4) reduce to w? Something that makes things ever more confusing is using the equals function "===" (Sqrt[v^2]===v) and (w^4)^(1/4)===w) both returns False.
x + Sqrt[y] + Sqrt[Sqrt[z]] == 1 /. {x -> u, y -> v^2, z -> w^4} // FullSimplify
u + Sqrt[v^2] + (w^4)^(1/4) == 1
Obviously, there is something here that I am not understanding so any clarification would be greatly appreciated.
Thanks,
Mitch Sandlin
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