For a given complex number $z=a+bi,$ the complex conjugate, written either $z^*$ or $\bar{z},$ is simply $a-bi.$

Of itself this appears to have no real value and hold no interest, but the result of multiplying a complex number by its complex conjugate is a real number. Thus it can be used in the process of dividing complex numbers.

This topic uses:
AbsoluteValue
AddingComplexNumbers
ArgandDiagram
CategoryMetaTopic
CauchySequence
CommonCoreDomains
CommonFactor
ComplexPlane
DifferenceOfTwoSquares
Divisor
DomainOfAFunction
FundamentalTheoremOfAlgebra
HolomorphicFunction
ImaginaryNumber
IsaacNewton
Logarithm
MathematicsTaxonomy
MultiplyingComplexNumbers
NewtonsMethod
Quaternion
RationalisingTheDenominator
SiteNavigation
SquareRoot
TypesOfNumber 		PolarRepresentationOfAComplexNumber
Polynomial 		CosineRule
DiophantineEquation
MagnitudeOfAVector
Pythagoras
RootTwoIsIrrational
SuggestedReading
↓
↓
↓
↓
ComplexNumber
DividingComplexNumbers 		MagnitudeOfAComplexNumber
PythagorasTheorem
RootsOfPolynomials
WhatIsATopic
↓
⇌

You are here

ComplexConjugate
↓
MultiplyingComplexNumbers
RealNumber
↓
↓
↓
↓
AddingComplexNumbers
ArgandDiagram
CategoryMetaTopic
ComplexPlane
Euler
ImaginaryNumber
MultiplyingRationalNumbers 		IndexLaws
PolarRepresentationOfAComplexNumber 		AlgebraicNumber
CauchySequence
CommonFactor
ContinuedFraction
DedekindCut
IrrationalNumber
RationalNumber
TranscendentalNumber

Local neighbourhood - D3

Last change to this page
Full Page history
Links to this page
 Edit this page
  (with sufficient authority)
Change password
 Recent changes
All pages
Search