Question

How do you find `abs( -3-5i )`?

Answer 1

`|-3-5i|=sqrt(34)`

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.

In this case, then, we have

`|-3-5i|=|-3+(-5)i|=sqrt((-3)^2+(-5)^3)=sqrt(34)`