To divide two complex numbers, multiply by the complex conjugate of the denominator.
Summary/Background
 A
note about graphic calculatorsA graphic calculator, for example the TI-83 or similar model, can work with complex numbers.   First select MODE and move down to select
a+bi:Then press 2nd QUIT and enter a complex number sum. |
Software/Applets used on this page
Glossary
complex number
A number of the form a+bi where i is the square root of -1, and a and b are real.
conjugate
of a complex number a+bi is a-bi.
denominator
the integer on the bottom of a fraction
mode
the value in a set of discrete data that occurs most frequently
union
The union of two sets A and B is the set containing all the elements of A and B.
work
Equal to F x s, where F is the force in Newtons and s is the distance travelled and is measured in Joules.
This question appears in the following syllabi:
| Syllabus | Module | Section | Topic | Exam Year |
|---|---|---|---|---|
| AQA A-Level (UK - Pre-2017) | FP2 | Complex Numbers | Complex algebra | - |
| AQA AS Further Maths 2017 | Pure Maths | Complex Number Basics | Complex Algebra | - |
| AQA AS/A2 Further Maths 2017 | Pure Maths | Complex Number Basics | Complex Algebra | - |
| CBSE XI (India) | Algebra | Complex Numbers and Quadratic Equations | Imaginary unit | - |
| CCEA A-Level (NI) | FP1 | Complex Numbers | Complex algebra | - |
| CIE A-Level (UK) | P3 | Complex Numbers | Complex algebra | - |
| Edexcel A-Level (UK - Pre-2017) | FP1 | Complex Numbers | Complex algebra | - |
| Edexcel AS Further Maths 2017 | Core Pure Maths | Complex Numbers | Complex Algebra | - |
| Edexcel AS/A2 Further Maths 2017 | Core Pure Maths | Complex Numbers | Complex Algebra | - |
| I.B. Higher Level | 1 | Complex Numbers | Complex algebra | - |
| Methods (UK) | M3 | Complex Numbers | Complex algebra | - |
| OCR A-Level (UK - Pre-2017) | FP1 | Complex Numbers | Complex algebra | - |
| OCR AS Further Maths 2017 | Pure Core | Complex Number Basics | Complex Algebra | - |
| OCR MEI AS Further Maths 2017 | Core Pure A | Complex Number Basics | Complex Algebra | - |
| OCR-MEI A-Level (UK - Pre-2017) | FP1 | Complex Numbers | Complex algebra | - |
| Pre-U A-Level (UK) | 7 | Complex Numbers | Complex algebra | - |
| Scottish Advanced Highers | M2 | Complex Numbers | Complex algebra | - |
| Scottish (Highers + Advanced) | AM2 | Complex Numbers | Complex algebra | - |
| Universal (all site questions) | C | Complex Numbers | Complex algebra | - |
| WJEC A-Level (Wales) | FP1 | Complex Numbers | Complex algebra | - |