Roots of Complex Numbers (Edexcel A-Level Further Mathematics): Flashcards

Modulus-argument (polar) form

de Moivre's Theorem

Modulus

Argument

$k = 0, 1, 2, \dots, n-1$

$n$ distinct roots

$4\sqrt{2}$

$\frac{\pi}{4}$

$2, -1 + i\sqrt{3}, -1 - i\sqrt{3}$

Evenly spaced, forming regular polygon