Question

How do you find `abs( 4-8i )`?

Answer 1

`4sqrt5`

Explanation:

Given the complex number 4 - 8 i =(4 ,-8). If we plot (4 ,-8) then the distance( r ) from the origin to the point can be calculated using `color(blue)"Pythagoras' theorem"`

`rArrr=sqrt(x^2+y^2)`

here x = 4 and y = - 8

`rArrr=|4-8i|=sqrt(4^2+(-8)^2)=sqrt80=4sqrt5`