# What is the conjugate of -2+3i?

Mar 17, 2018

$- 3 i - 2$

#### Explanation:

A conjugate of an expression in the form of $a + b i$ is $a - b i$, and vice-versa.

So, here we got: $- 2 + 3 i$

$= 3 i - 2$

Therefore, its conjugate will be $- 3 i - 2$.

Mar 17, 2018

$- 2 - 3 i$

#### Explanation:

$\text{given a complex number } x \pm y i$

"then the conjugate is "xcolor(red)(∓)yi

$\text{note that "(x+yi)(x-yi)=x^2+y^2larrcolor(blue)"a real number}$

$\text{the conjugate of "-2+3i" is } - 2 \textcolor{red}{-} 3 i$