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37 votes
37 votes
What is the distance between 1 + 3i and 2 - 4i in the complex plane?

User Mojtaba Nava
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1 Answer

16 votes
16 votes

Answer: 5√2

Step-by-step explanation:to find the distance, use the equation:

distance = √(x1 - x2)^2 + (y1 - y2)^2

using that equation we can plug in our known values, and solve

√(1 - 2)^2 + ( 3 - (-4))^2

√(-1)^2 + (7)^2

√(1) + (49)

√50

to find the square root of 50, we have to rationalize. we can separate the 50 into √25 and √2, which would give us 5√2

User Geethanga
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