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After many, many years, we finally have real_nth_root as well. From the documentation:

sage: plot(real_nth_root(x, 3), (x, -1, 1))

plot of cube root for real input

After many, many years, we finally have real_nth_root as well. From the documentation:

sage: plot(real_nth_root(x, 3), (x, -1, 1))

plot of cube root for real input

See Trac 12074 for some of the story.