Category:Examples of Complex Roots
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This category contains examples of Complex Root.
Let $z \in \C$ be a complex number such that $z \ne 0$.
Let $n \in \Z_{>0}$ be a (strictly) positive integer.
Let $w \in \C$ such that:
- $w^n = z$
Then $w$ is a (complex) $n$th root of $z$, and we can write:
- $w = z^{1 / n}$
Subcategories
This category has only the following subcategory.
E
Pages in category "Examples of Complex Roots"
The following 30 pages are in this category, out of 30 total.
R
- Roots of Complex Number/Corollary/Examples
- Roots of Complex Number/Corollary/Examples/Cube Roots
- Roots of Complex Number/Corollary/Examples/Cube Roots of 8i
- Roots of Complex Number/Corollary/Examples/Fourth Roots of 2-2i
- Roots of Complex Number/Examples
- Roots of Complex Number/Examples/4th Roots of -16 i
- Roots of Complex Number/Examples/4th Roots of -2 root 3 - 2i
- Roots of Complex Number/Examples/4th Roots of i
- Roots of Complex Number/Examples/5th Roots of -16 + 16 root 3 i
- Roots of Complex Number/Examples/5th Roots of -32
- Roots of Complex Number/Examples/5th Roots of -4 + 4i
- Roots of Complex Number/Examples/6th Roots of -27 i
- Roots of Complex Number/Examples/6th Roots of 64
- Roots of Complex Number/Examples/Cube Roots
- Roots of Complex Number/Examples/Cube Roots of -1+i
- Roots of Complex Number/Examples/Cube Roots of -11-2i
- Roots of Complex Number/Examples/Cube Roots of 2 + 2 root 3 i
- Roots of Complex Number/Examples/Cube Roots of 2+11i
- Roots of Complex Number/Examples/Cube Roots of 2+2i
- Roots of Complex Number/Examples/Cube Roots of 2-11i
- Roots of Complex Number/Examples/Cube Roots of 8
- Roots of Complex Number/Examples/Square of Cube Roots of i
- Roots of Complex Number/Examples/Square Roots of 2 root 3 - 2i
- Roots of Complex Number/Examples/Square Roots of 4 root 2 + 4 root 2 i
- Roots of Complex Number/Examples/z^4 + 81 = 0
- Roots of Complex Number/Examples/z^4 - 81 = 0
- Roots of Complex Number/Examples/z^5 + 1 = 0
- Roots of Complex Number/Examples/z^6 + 1 = root 3 i
- Roots of Complex Number/Examples/z^8 + 1 = 0
- Roots of Complex Number/Examples/z^8 + 1 = 0/Illustration