Question

Please help me with this problem!!!!!!

Answer 1

Answer:

$\sqrt{29}$

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 = $\sqrt{(6-4)^2+(-2-3)^2}$

   = $\sqrt{2^2+(-5)^2}$

   = $\sqrt{4+25}$

   = $\sqrt{29}$