How do you find the absolute value of #-9+6i#?

1 Answer
Sep 25, 2016

#sqrt117#

Explanation:

Given a complex number #z=x+yi# then using Pythagoras' theorem, it's magnitude is.

#color(red)(bar(ul(|color(white)(a/a)color(black)(|z|=|x+yi|=sqrt(x^2+y^2))color(white)(a/a)|)))#

here x = - 9 and y = 6

#rArrsqrt((-9)^2+6^2)=sqrt(81+36)=sqrt117" absolute value"#