How do you write the complex conjugate of the complex number −2 + 3i?

Jul 10, 2016

-2 - 3i

Explanation:

Given a complex number z = x ± yi then the complex conjugate is

color(red)(|bar(ul(color(white)(a/a)color(black)(barz=x∓yi)color(white)(a/a)|)))

Note that the real part remains unchanged, while the 'sign' of the imaginary part is reversed.

Hence the complex conjugate of -2 + 3i is $\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{- 2 - 3 i} \textcolor{w h i t e}{\frac{a}{a}} |}}}$