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In order to use the theorem to find the nth roots of a complex number, one must convert the complex number a + bi into its polar form: r (cos x + sin x), where r is the modulus of a + bi and r = ?aa2 + b2 .
If z = r (cos ?? + i sin ??), then it will have n diverse nth roots, shown as:
(for k = 0,1,2,?c,n-1). The n distinct roots will have the same modulus, r1/n, but will have different arguments determined by for radians or for degrees, where k = 0,1,2,?c, n-1.
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