Question

please help me simplify

∛(-1)

Answer 1

∛(-1) = -1

since (-1)(-1)(-1) = -1

Answer 2

If you're working in complex numbers, don't forget that there are three solutions to the cubic equation x©ø = -1. x = -1 is one of them; the other two are x = (1 + ¡î3i) / 2 and x = (1 - ¡î3i) / 2, since if you cube either of these you'll get -1.

Answer 3

Sorry - I can't upload symbols, it seems. If you're working in complex numbers, don't forget that there are three solutions to the cubic equation x cubed = -1. x = -1 is one of them; the other two are x = (1 + sqrt(3)*i) / 2 and x = (1 - sqrt(3)*i) / 2, since if you cube either of these you'll get -1.