Dividing Complex Numbers - Concept

Concept Concept (1)

Fractions with negative roots in the denominator or with i in the denominator must be rationalized (since i represents a square root). When dividing complex numbers with negative roots, simplify in terms of imaginary numbers and then multiply the numerator and denominator by i. When a binomial is in the denominator, rewrite using i and then multiply the numerator and denominator by the conjugate.

Sample Sample Problems (6)

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Dividing Complex Numbers - Problem 1

Simplify:

20
-72
Problem 1
How to rationalize the denominator when dealing with an imaginary number.
Dividing Complex Numbers - Problem 2

Simplify:

-1 + √-4
4 + √-9
Problem 2
How to rationalize the denominator when dealing with a complex number.
Dividing Complex Numbers - Problem 3
Problem 3
How to divide by an imaginary monomial.
Dividing Complex Numbers - Problem 4
Problem 4
How to simplify radical quotients with a negative root in the denominator.
Dividing Complex Numbers - Problem 5
Problem 5
Dividing complex numbers where the denominator contains an imaginary number.
Dividing Complex Numbers - Problem 6
Problem 6
How to divide complex numbers.