The process of identifying the roots of a complex number requires the discovery of specific values that, when elevated to a particular power, yield the initial complex number. This can be accomplished by applying De Moivre's theorem and Euler's formula, which connect complex numbers to trigonometric functions. This procedure frequently includes both real and imaginary elements.
| Topic | Problem | Solution |
|---|---|---|
| None | Find all the roots of the complex number \(z = 8(… | Step 1: We write it in exponential form \(z = 8e^{\frac{i\pi}{3}}\) |