Algebra & Equations

Complex Conjugate

Reflect across the real axis.

Formula

Formula
conj(a+bi) = a − bi

Variables

SymbolDefinitionType & rangeUnitsRole
a real part real number (ℝ) real input
b imaginary part real number (ℝ) imag input

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givena (real) = 3, b (imag) = 5
Result3 + -5i
Example 2
Givena (real) = -2, b (imag) = -7
Result-2 + 7i