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Santaclausgirl21
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Să se calculeze modulul nr complex z=√15-i.Dau coroană repede!​

Răspuns :

 

[tex]\displaystyle\bf\\z=\sqrt{15}-i\\\\Re~z=\sqrt{15}\\\\Im~z=-1\\\\Modul~(z)=|z|=\Big|\sqrt{15}-i\Big|=\\\\=\sqrt{\Big(Re~z\Big)^2+\Big(Im~z\Big)^2}=\\\\=\sqrt{\Big(\sqrt{15}\Big)^2+\Big(-1\Big)^2}=\\\\=\sqrt{15+1}=\sqrt{16}=4\\\\\boxed{\bf|z|=4}[/tex]

 

 

 

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