More Roots of Complex Numbers (8.6.3)

Question 1

• Also use DeMoivre’s theorem to find the nth roots of a complex number in polar form. The nth roots of the complex number z = r (cosθ + i sinθ) are given by the formula .

Answer 1

• Also use DeMoivre’s theorem to find the nth roots of a complex number in polar form. The nth roots of the complex number z = r (cosθ + i sinθ) are given by the formula .

Question 2

• Review: Complex roots always come in conjugate pairs. If one of the roots is in the form a + bi, there will always be a second root in the form a–bi.

Answer 2

• Review: Complex roots always come in conjugate pairs. If one of the roots is in the form a + bi, there will always be a second root in the form a–bi.