Respuesta :
Answer:
Modulus of z i.e |z| is [tex]|z|=\sqrt{218}[/tex]
Step-by-step explanation:
We are given [tex]z= 13-7i[/tex] and we need to find |z|
|z| is modulus of complex number
The formula used is: [tex]|z|=\sqrt{a^2+b^2}[/tex]
In the given question [tex]z= 13-7i[/tex] a= 13 and b= -7
Putting values and finding |z|
[tex]|z|=\sqrt{a^2+b^2}\\|z|=\sqrt{(13)^2+(-7)^2}\\|z|=\sqrt{169+49} \\|z|=\sqrt{218}[/tex]
So, Modulus of z i.e |z| is [tex]|z|=\sqrt{218}[/tex]