Question

Calculate the distance between (−3 + 4i) and (3 −3i) on the coordinate plane.

A)

35


B)

47


C)

49

D)

85

Answer 1

Another one for my "impossible math problems" file.

The distance between real parts of these numbers is 3-(-3) = 6.
The distance between imaginary parts of these numbers is (4-(-3)) = 7.
The straight-line distance on the complex plane between these numbers is given by the Pythagorean theorem as
distance = √(6² + 7²)
distance = √85 ≈ 9.2195

_____
If your answer choices are supposed to have radical signs, then the best choice is ...
D) √85

Otherwise, no offered choice is correct.