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daviddoria
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At http://www.wolframalpha.com/ , if you type:
1) (-1)^(1/3)
It gives a complex approximation. Isn't it exactly -1?
David
1) (-1)^(1/3)
It gives a complex approximation. Isn't it exactly -1?
David
daviddoria said:At http://www.wolframalpha.com/ , if you type:
1) (-1)^(1/3)
It gives a complex approximation. Isn't it exactly -1?
David
The cubed root of -1 is -1, as (-1)^3 = -1.
No, the cubed root of -1 is not a real number. It is a complex number, denoted as -1 + 0i, where i is the imaginary unit.
The cubed root of -1 is significant in mathematics as it is the fundamental solution to the equation x^3 + 1 = 0. It is also used in complex numbers and has applications in fields such as engineering and physics.
Yes, the cubed root of -1 can be simplified to the expression -1 + 0i, where i is the imaginary unit. This is the simplest form for a complex number.
In the complex plane, the cubed root of -1 is represented as a point on the negative real axis, i.e. -1, since it has no imaginary component.