All Precalculus Resources
Example Questions
Example Question #1 : Find The Quotient Of Complex Numbers
Let ,
. Find a simple form of
.
We remark first that:
and we know that :
.
This means that:
Example Question #1 : Products And Quotients Of Complex Numbers In Polar Form
What is ?
Since ,
the problem becomes,
Example Question #1 : Find The Quotient Of Complex Numbers
Write
in the form for some real numbers
and
.
The correct answer is
Using simple algebra and multiplying the expression by the complex conjugate of the denominator, we get:
Example Question #1 : Find The Quotient Of Complex Numbers
Divide:
To divide complex numbers, multiply both the numerator and denominator by the conjugate of the denominator.
To find the conjugate, just change the sign in the denominator. The conjugate used will be .
Now, distribute and simplify.
Recall that
Example Question #5 : Find The Quotient Of Complex Numbers
Divide:
To divide complex numbers, multiply both the numerator and denominator by the conjugate of the denominator.
To find the conjugate, just change the sign in the denominator. The conjugate used will be .
Now, distribute and simplify.
Recall that
Example Question #1 : Find The Quotient Of Complex Numbers
Divide.
To divide complex numbers, multiply both the numerator and denominator by the conjugate of the denominator.
To find the conjugate, just change the sign in the denominator. The conjugate used will be .
Now, distribute and simplify.
Recall that
Example Question #7 : Find The Quotient Of Complex Numbers
Divide.
To divide complex numbers, multiply both the numerator and denominator by the conjugate of the denominator.
To find the conjugate, just change the sign in the denominator. The conjugate used will be .
Now, distribute and simplify.
Recall that
Example Question #8 : Find The Quotient Of Complex Numbers
Divide.
To divide complex numbers, multiply both the numerator and denominator by the conjugate of the denominator.
To find the conjugate, just change the sign in the denominator. The conjugate used will be .
Now, distribute and simplify.
Recall that
Example Question #9 : Find The Quotient Of Complex Numbers
Divide.
To divide complex numbers, multiply both the numerator and denominator by the conjugate of the denominator.
To find the conjugate, just change the sign in the denominator. The conjugate used will be .
Now, distribute and simplify.
Recall that
Example Question #10 : Find The Quotient Of Complex Numbers
Divide.
To divide complex numbers, multiply both the numerator and denominator by the conjugate of the denominator.
To find the conjugate, just change the sign in the denominator. The conjugate used will be .
Now, distribute and simplify.
Recall that
Certified Tutor
All Precalculus Resources
![Learning Tools by Varsity Tutors](https://vt-vtwa-app-assets.varsitytutors.com/assets/problems/og_image_practice_problems-9cd7cd1b01009043c4576617bc620d0d5f9d58294f59b6d6556fd8365f7440cf.jpg)