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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.

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## 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.

Full Glossary List

## This question appears in the following syllabi:

SyllabusModuleSectionTopic
AQA A-Level (UK - Pre-2017)FP2Complex NumbersComplex algebra
AQA AS Further Maths 2017Pure MathsComplex Number BasicsComplex Algebra
AQA AS/A2 Further Maths 2017Pure MathsComplex Number BasicsComplex Algebra
Core PureComplex NumbersComplex Algebra
CBSE XI (India)AlgebraComplex Numbers and Quadratic EquationsImaginary unit
CCEA A-Level (NI)FP1Complex NumbersComplex algebra
CIE A-Level (UK)P3Complex NumbersComplex algebra
Edexcel A-Level (UK - Pre-2017)FP1Complex NumbersComplex algebra
Edexcel AS Further Maths 2017Core Pure MathsComplex NumbersComplex Algebra
Edexcel AS/A2 Further Maths 2017Core Pure MathsComplex NumbersComplex Algebra
I.B. Higher Level1Complex NumbersComplex algebra
Methods (UK)M3Complex NumbersComplex algebra
OCR A-Level (UK - Pre-2017)FP1Complex NumbersComplex algebra
OCR AS Further Maths 2017Pure CoreComplex Number BasicsComplex Algebra
OCR MEI AS Further Maths 2017Core Pure AComplex Number BasicsComplex Algebra
OCR-MEI A-Level (UK - Pre-2017)FP1Complex NumbersComplex algebra
Pre-U A-Level (UK)7Complex NumbersComplex algebra