Complete Theory

Worked Examples

Example 1Product of complex numbers

Example 2Square roots of a complex number

Example 3Solve

z^3+8=0

Exercise 1Algebraic operationsMedium

📋 Problem to solve

Compute

(2-3i)(4+i)

and express the result in algebraic form

a+bi

Exercise 2Polar form and De MoivreMedium

📋 Problem to solve

Compute

(\sqrt3 + i)^5

using De Moivre's formula.

Exercise 3Roots of complex numbersHard

📋 Problem to solve

Find all fourth roots of

-16

📚

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