How do you find $abs( 7 – 2i )$ ?

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Answer 1 · 2016-12-06T12:44:31

$abs(7-2i)=color(green)(sqrt(53))$

The absolute value of a (complex) number is its distance from the origin.

This can be easily calculated using the Pythagorean Theorem:

$color(white)("XX")abs(7-2i)=sqrt(7^2+(-2)^2) = sqrt(49+4) =sqrt(53)$

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How do you find abs( 7 – 2i )abs( 7 – 2i )?