The second option is correct i.e. Zach should have left the i out of the computations when finding distance in the complex plane.
Distance between two complex points :
Let p+qi, and r+si be two complex points. Then the distance d(say) between these two points p+qi, and r+si can be calculated as
d = √[(p-r)²+(q-s)²]
How to solve this problem?
You have to check if the distance between the given two complex points is calculated according to the above formula.
Here the distance between the given two complex points is
√[(3-7)²+(8-6)²]
=√[(-4)²+(2)²]
=√[16+4]
=√[20]
=√[4×5]
=2√5
But Zach subtracts (8i-6i) and got the wrong answer.
So, the second option is correct i.e. Zach should have left the i out of the computations when finding distance in the complex plane.
Learn more about the distance between two complex points here -
https://brainly.com/question/10220343
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