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

Apr 14, 2018

$\left\mid 15 + 7 i \right\mid = \sqrt{274}$

Explanation:

$\left\mid 15 + 7 i \right\mid = \sqrt{{15}^{2} + {7}^{2}} = \sqrt{225 + 49} = \sqrt{274}$

The prime factorisation of $274$ is:

$274 = 2 \cdot 137$

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