How do you find $abs( -3-5i )$ ?

Question

4704 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-28T10:13:52

$|-3-5i|=sqrt(34)$

The modulus of a complex number $a+bi$ , denoted $|a+bi|$ , is given by

$|a+bi|=sqrt(a^2+b^2)$

and represents the distance of that number from the origin on the complex plane.

In this case, then, we have

$|-3-5i|=|-3+(-5)i|=sqrt((-3)^2+(-5)^3)=sqrt(34)$

How do you find abs( -3-5i )abs( -3-5i )?