Conjugate Pair
Table of Contents
What is a Conjugate Pair?
In algebra, a conjugate pair refers to two complex numbers in the form a+bi and a-bi, where a and b are real numbers, and i is the imaginary unit (i^2=\text{-}1). The real parts are the same in a conjugate pair, and the imaginary parts have opposite signs.
Examples of Conjugate Pairs
- 3+2i \text{ and } 3-2i, Here 3 is the common real part, and the imaginary parts have opposite signs. 2i \text{ and } \text{-}2i.
- \text{-}1-4i \text{ and \text{-}1+4i}, In this case, –1 is the common real part, and the imaginary parts have opposite signs. 4i \text{ and } \text{-}4i.
- i \text{ and -} i, Pure imaginary numbers like i \text{ and -} i form a conjugate pair with each other.
- 5-7i \text{ and } 5+7i, Here, 5 is the common real part, and the imaginary parts have opposite signs.
Related Links
Complex Number
Imaginary Unit
Expression
Exponent