Question

How do you find `abs( 3-2i )`?

Answer 1

`|3-2i| = sqrt(13)`

Explanation:

The modulus of a complex number `a+bi`, denoted `|a+bi|`, is given by

`|a+bi| = sqrt(a^2+b^2)`

and represents the distance of that number from the origin on the complex plane. Note that this is analogous to the absolute value of a real number.

For our given number, `3-2i`, we have

`|3-2i| = sqrt(3^2+(-2)^2) = sqrt(9+4) = sqrt(13)`