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7 answers

-3

2007-08-24 06:50:41 · answer #1 · answered by peteryoung144 6 · 2 0

The answer is -3. No need for a radical. When you take -3 to the third power, you get -27 back.

Somebody else said 3i, but cubing this gives you 27(i^3) = -27i, not -27.

2007-08-24 13:51:21 · answer #2 · answered by Anonymous · 2 0

Don't make this more complicated than it needs to be: -27^1/3 = -3

test it: -3^3 = -3 x -3 x -3 = -27. No imaginary numbers here!

2007-08-24 14:11:21 · answer #3 · answered by John V 6 · 2 0

-3!

2007-08-24 14:36:43 · answer #4 · answered by glo with pride 1 · 0 0

3i

2007-08-24 13:51:11 · answer #5 · answered by roguetrader12002 4 · 1 3

either -3 or 3i. Depending on what level of math you are in.

2007-08-24 13:52:34 · answer #6 · answered by Toledo Engineer 6 · 0 2

z=-27+0i
angle=180
|z|=27

z=r(cosx+isinx)
z=27(cos(k360+180)+isin(k360+180))

z^(1/3)=3(cos(k120+60)+isin(k120+60)

w0=3(cos60+isin60)=3(1/2+isqrt(3)/2)
w1=3(cos 180+isin 180=3(-1+0i)
w2=3 (cos 300+isin300)=3(1/2-isqrt(3)/2)

2007-08-24 13:57:57 · answer #7 · answered by iyiogrenci 6 · 0 2

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