Posted by **John** on Saturday, March 15, 2008 at 3:05pm.

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 -
**Damon**, Saturday, March 15, 2008 at 3:16pm
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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