Question

find magnitude of complex number z=-5+12i​

Answer 1

$\:\:\:\: \Large \underline {\sf{Given\::}}$

$: \implies\sf z\: =\: -5 \:+\: 12i$

$\:\:\:\: \Large \underline {\sf{To\:Find\::}}$

$: \implies\sf Magnitude \:of\: given\: complex \:number$

$\:\:\:\: \Large \underline {\sf{Solution\::}}$

$\small\underline{\boxed{\sf{\red{Formula\:used\:=\:Magnitude\:=\: \sqrt{{a}^{2}\:+\:{b}^{2}}}}}}$

➟$\sf Magnitude\: = \: \sqrt{{(-5)}^{2}\:+\:{12}^{2}}$

➟$\sf Magnitude\: = \: \sqrt{25\:+\:144}$

➟$\sf Magnitude\: = \: \sqrt{169}$

➟$\sf Magnitude\: = \: 13$

$\:\:\:\: \Large \underline{\boxed{\sf{Magnitude\:=\:13}}}$

And we are done !

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