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Is the cube root of -8 an imaginary number?

2007-11-30 19:22:14 · 7 answers · asked by sillyboys_trucksare4girls 2 in Science & Mathematics Mathematics

7 answers

No. It is -2

2007-11-30 19:25:07 · answer #1 · answered by chasrmck 6 · 0 0

It's not an imaginary number. It will be an imaginary number if it is a square root of a negative number. It is possible to cube root a negative number.


THE CUBE ROOT OF -8: -2

because

(-2) (-2) (-2) =-8

2007-12-01 03:37:46 · answer #2 · answered by gm_2422 2 · 0 0

There are 3 cube roots of -8, which are:

-2
1 + i√3
1 - i√3

So, one root is real, the other two are imaginary, or complex.

2007-12-01 03:28:52 · answer #3 · answered by Scythian1950 7 · 2 0

no it is not

cube root of 08 is equal to -2 because (-2)^3 = -2 * (-2) * (-2) = -8.

even roots (2, 4, 6, 8,...) of negative numbers are complex numbers

2007-12-01 03:26:06 · answer #4 · answered by Anonymous · 0 0

In real domain, it is not. But in complex domain, it has three solutions, x = -2, 1±√3 i, which can be obtained by solving x^3+8 = (x+2)(x^2-2x+4) = 0

2007-12-01 03:28:54 · answer #5 · answered by sahsjing 7 · 0 0

imaginary number is "i"
i = sqrt. -1
i^2=-1

cubic root -8
(break down to)
cubic root of 8 times cubic root of -1
cubic root=2i


so yes it is imaginary

2007-12-01 03:33:19 · answer #6 · answered by i.heart.u 5 · 0 2

22222222222222 its 2

2007-12-01 03:26:10 · answer #7 · answered by Anonymous · 0 0

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