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algebra

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find all the real cube roots of -0.000216
a) 0.0036
b) -0.06
c) 0.0036 and -0.0036
d) -0.06 and 0.06
multiple choice

  • algebra - ,

    Well, it has to be negative, say -a if a is a positive number
    because (-a)(-a)(-a) = -a^3
    but
    a*a*a = +a
    so that deletes options a) and c) and d)
    which leaves us with b)
    try b)
    (-.06)(-.06)(-.06) = -.000216
    sure enough, b) works
    I bet the other two roots are complex conjugates :)

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