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If z = 4+i3, then |z| = ?

 Jan 14, 2016

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 #1
avatar+26364 
+15

If z = 4+i3, then |z| = ?

 

\(\begin{array}{rcrcl} \boxed{~ z = a+ib \qquad |z| = \sqrt{a^2+b^2} ~} \end{array}\)

 

\(\begin{array}{rcrcl} z &=& 4+i\cdot 3 \\ |z| &=& \sqrt{4^2+3^2}\\ |z| &=& \sqrt{25}\\ |z| &=& 5 \end{array}\)

 

laugh

 Jan 14, 2016
edited by heureka  Jan 14, 2016
 #1
avatar+26364 
+15
Best Answer

If z = 4+i3, then |z| = ?

 

\(\begin{array}{rcrcl} \boxed{~ z = a+ib \qquad |z| = \sqrt{a^2+b^2} ~} \end{array}\)

 

\(\begin{array}{rcrcl} z &=& 4+i\cdot 3 \\ |z| &=& \sqrt{4^2+3^2}\\ |z| &=& \sqrt{25}\\ |z| &=& 5 \end{array}\)

 

laugh

heureka Jan 14, 2016
edited by heureka  Jan 14, 2016

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