Question

Given point A(2, 3) and B(-5, 2), find the length AB

Answer 1

Okay, here we have this:

Considering the provided points, we obtain the following:

`\begin{gathered} AB=√(\left(-5-2\right)^2+\left(2-3\right)^2) \\ =\sqrt[]{(-7)^2+(-1)^2} \\ =\sqrt[]{49+1} \\ =\sqrt[]{50} \\ =\sqrt[]{5\cdot5\cdot2} \\ =\sqrt[]{5^2}\sqrt[]{2} \\ =5\sqrt[]{2} \end{gathered}`

Finally we obtain that thhe length of AB is 5 sqrt(2).