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

PurplePotato Jan 14, 2016

+26396

+15

Best Answer

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

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

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

heureka Jan 14, 2016

edited by heureka Jan 14, 2016

heureka · Answer 1 · 2016-01-14T01:59:01

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

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

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