Students learn to add, subtract, multiply, and divide complex numbers that contain radicals. For example, to divide (3 + 5i root 11) / (6 + 2i root 11), the first step is to multiply both the numerator and denominator of the fraction by the conjugate of the denominator, which is (6 - 2i root 11), then FOIL in both the numerator and denominator, and combine like terms.

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