Answer:
[tex]\sqrt{20}[/tex]
Step-by-step explanation:
This is a complex number expression, and you are asked to find the absolute value.
in a complex number, there are two parts, the real and the imaginary part.
in the question ; 2 = real part, 4 = imaginary part
based on the diagram, we will use Pythagoras theorem to solve for the hypotenuse which gives the absolute value of the complex number.
[tex]|2+4i|^{2}[/tex] = [tex]2^{2}[/tex] + [tex]4^{2}[/tex]
= 4 + 16
= 20
; |2+4i| = [tex]\sqrt{20}[/tex]
