Question

How do you find `abs(5-2i)`?

Answer 1

`|5-2i| = sqrt(29)`

Explanation:

The modulus of a complex number `a+bi`, denoted as `|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.

For our given number, then, we have

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

`=sqrt(25+4)`

`=sqrt(29)`