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

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Answer 1 · 2016-10-18T00:06:15

The absolute value of $4 + 7 i$ $4 + 7i$ is $\sqrt{65}$ $sqrt65$ .

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

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

$| z | = \sqrt{4^{2} + 7^{2}}$ $|z| = sqrt(4^2 + 7^2)$
$| z | = \sqrt{16 + 49}$ $|z| = sqrt(16 + 49)$
$| z | = \sqrt{65}$ $|z| = sqrt65$

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