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Find the distance between 2+3i and -8+14i

Find the distance between 2+3i and -8+14i-example-1

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Answer:

√221

Explanation:

Given the complex numbers z₁ = a₁ + b₁i and z₂ = a₂ + b₂i. The distance between two complex numbers is:


\displaystyle{d = √(\left(a_2-a_1\right)^2 + \left(b_2-b_1\right)^2)}

So by applying the formula, we will have:


\displaystyle{d = √(\left(2+8\right)^2+\left(3-14\right)^2)}\\\\\displaystyle{d=√(10^2+\left(-11\right)^2)}\\\\\displaystyle{d=√(100+121)}\\\\\displaystyle{d=√(221)}

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