Complex nth Root Finder
by Gemini, prompts by Mr. C.
Mode
Rectangular
Polar
Root (n)
Real (a)
Imag (b)
Mag (r)
Angle
Deg
Rad
Precision
1 place
2 places
3 places
4 places
5 places
6 places
7 places
8 places
Find Roots
Copy Results
Reset
* Values in red indicate a minor floating-point drift from the original base number.
De Moivre's Theorem
For a complex number in
CIS
form:
z = r cis(θ)
The
n
th roots are given by:
w
k
= r
1/n
cis((θ + 2kπ) / n)
Where
k = 0, 1, ..., n-1
.
Quick Converter
Degrees
Radians