How do you find $abs(-2 + 4i )$ ?

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Answer 1 · 2016-03-31T02:41:50

$|-2+4i| =2sqrt(5)$

The modulus of a complex number $a+bi$ is defined as

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

(Note that this is the distance from the origin to the point $(a,b)$ on the complex plane)

In this case, that gives us

$|-2+4i| = sqrt((-2)^2+4^2)$

$=sqrt(4+16)$

$=sqrt(20)$

$=2sqrt(5)$

How do you find abs(-2 + 4i )abs(-2 + 4i )?