# What is the complex conjugate of 2?

Nov 22, 2015

$2$

#### Explanation:

A complex number is written in the form $a + b i$. Examples include $3 + 2 i$, $- 1 - \frac{1}{2} i$, and $66 - 8 i$.

The complex conjugates of these complex numbers are written in the form $a - b i$: their imaginary parts have their signs flipped. They would be: $3 - 2 i , - 1 + \frac{1}{2} i$, and $66 + 8 i$.

However, you're trying to find the complex conjugate of just $2$. While this may not look like a complex number in the form $a + b i$, it actually is! Think of it this way: $2 + 0 i$

So, the complex conjugate of $2 + 0 i$ would be $2 - 0 i$, which is still equal to $2$.

This question is more theoretical than practical, but it's still interesting to think about!