# MATH HELP: Imaginary numbers?

There's a picture of the problem for reference. Correct answer is C. √13

I have no idea what to do with imaginary numbers.

Sorry, D. is the answer.

### 5 Answers

- KrishnamurthyLv 71 month ago
The distance between 2 + 6i and -4 + 3i:

abs(2 + 6 i - 4 + 3 i)= 3√5 ≈ 6.7082

Answer choice: D. √45

- VamanLv 71 month ago
Assume x=2, y=6 for the first and x=-4, y=3 for the second. The distance is sqrt(-4-2)^2+(3-6)^2)= sqrt (4+9)= sqrt 13. This is the answer.

- Jeffrey KLv 71 month ago
This is the same as asking for the distance between points (2,6) and (-4,3). Use the usual distance formula or Pythagorean thm.

- PuzzlingLv 71 month ago
You can think of it as the distance between (2, 6) and (-4, 3) in the cartesian plane.

d = √[(2 - (-4))² + (6 - 3)²]

d = √(6² + 3²)

d = √(36 + 9)

d = √45

Answer:

D. √45 (or 3√5)

The answer is NOT √13

Perhaps they meant -2 + 6i and -4 + 3i, that would have a distance of √13

Alternatively, maybe it was 2 + 6i and 4 + 3i. That also has a distance of √13

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