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

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.

hope this helps!

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