How do you find $abs( 4+7i )$ ?

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Answer 1 · 2016-10-18T00:06:15

The absolute value of $4 + 7i$ is $sqrt65$ .

The absolute value of a complex number in the form $a + bi$ is found using this process: $sqrt(a^2 + b^2)$ .

So, given $z = |4 + 7i|$ ,

$|z| = sqrt(4^2 + 7^2)$
$|z| = sqrt(16 + 49)$
$|z| = sqrt65$

How do you find abs( 4+7i )abs( 4+7i )?