Question

How do you find the absolute value of `-3+10i`?

Answer 1

`sqrt109`

Explanation:

Given a complex number `z=x+yi`

Then, using the theorem of Pythagoras, the absolute value is.

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(|z|=sqrt(x^2+y^2))color(white)(2/2)|)))`

here x = - 3 and y = 10

`rArr|-3+10i|=sqrt((-3)^2+10^2)=sqrt109`