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

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Answer 1 · 2016-05-03T07:44:01

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

Given a complex number $a+bi$ , that number's modulus, denoted $|a+bi|$ , is given by

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

In this case, that gives us

$|-2+i| = sqrt((-2)^2+1^2) = sqrt(4+1) = sqrt(5)$

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