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Complex Number Calculator
Add, multiply and find the modulus of two complex numbers.
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Add, multiply and find the modulus of two complex numbers.
Complex Number Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: (a+bi)(c+di) = (ac-bd) + (ad+bc)i.
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Complex Quick Guide
Typical values for reference.
| z1 real | z1 imag | z2 real | Sum |
|---|---|---|---|
| 3 | 4 | 1 | 4.00 + 2.00i |
| 1 | 1 | 1 | 2.00 + 0.00i |
| 2 | 0 | 0 | 2.00 + 3.00i |
| 5 | -2 | -1 | 4.00 + 2.00i |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Complex Number Calculator FAQ
Answers to common questions about this calculator.
A number of the form a + bi where i squared equals -1.
Use (ac – bd) + (ad + bc)i.
The distance from the origin, sqrt(a2 + b2).
Yes, then the number is real.