How do you simplify $abs(15 + 7i )$ ?

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Answer 1 · 2018-04-14T22:12:14

$abs(15+7i) = sqrt(274)$

$abs(15+7i) = sqrt(15^2+7^2) = sqrt(225+49) = sqrt(274)$

The prime factorisation of $274$ is:

$274 = 2 * 137$

With no square factors we can deduce that $sqrt(274)$ is in simplest form.

How do you simplify abs(15 + 7i )abs(15 + 7i )?