Question

How do you find `abs( -7-2i)`?

Answer 1

`sqrt53`

Explanation:

Given a complex number z = a + bi , then the modulus (or magnitude) is found using Pythagoras' theorem.

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

here a = -7 and b = -2

`rArr|-7-2i|=sqrt((-7)^2+(-2)^2)=sqrt53`