Question

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

Answer 1

`√(29)`

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 =
`√((6-4)^2+(-2-3)^2)`

=
`√(2^2+(-5)^2)`

=
`√(4+25)`

=
`√(29)`