Question

Sa se calculeze modulul numatului complex z=|2-i| \ |2+i|

Answer 1

$z=\dfrac{|2-i|}{|2+i|}=\dfrac{\sqrt{2^2+(-1)^2}}{\sqrt{2^2+1^2}}=\dfrac{5}{5}=1.\;Deci\ z=1,\ care\ are\ modulul\;tot\ 1.$

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