Answer:
[tex]\sqrt{29}[/tex]
Step-by-step explanation:
The complex number x + yi can be expressed in coordinate form as
x + yi → (x, y ), thus
4 + 3i → (4, 3 )
6 - 2i → (6, - 2 )
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (4, 3) and (x₂, y₂ ) = (6, - 2)
d = [tex]\sqrt{(6-4)^2+(-2-3)^2}[/tex]
= [tex]\sqrt{2^2+(-5)^2}[/tex]
= [tex]\sqrt{4+25}[/tex]
= [tex]\sqrt{29}[/tex]
