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

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Answer 1 · 2018-04-14T22:12:14

$| 15 + 7 i | = \sqrt{274}$ $abs(15+7i) = sqrt(274)$

$| 15 + 7 i | = \sqrt{15^{2} + 7^{2}} = \sqrt{225 + 49} = \sqrt{274}$ $abs(15+7i) = sqrt(15^2+7^2) = sqrt(225+49) = sqrt(274)$

The prime factorisation of $274$ $274$ is:

$274 = 2 \cdot 137$ $274 = 2 * 137$

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

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