\begin{enumerate}
\item A\coord{-2}{3} et B\coord{-3}{5}.
\begin{align*}
\rm AB &= \sqrt{\big(-3-(-2)\big)^2+(5-3)^2}\\
& = \sqrt{(-3+2)^2+2^2}\\
& = \sqrt{(-1)^2+2^2}\\
& = \sqrt{1+4}\\
\Aboxed{\rm AB & = \sqrt{5}}
\end{align*}

\item A\coord{3}{2} et B\coord{8}{1}.

\begin{align*}
\rm AB & = \sqrt{(8-3)^2+(1-2)^2}\\
& = \sqrt{5^2+(-1)^2}\\
& = \sqrt{25+1}\\
\Aboxed{\rm AB & = \sqrt{26}}
\end{align*}

\item A\coord{-1}{-3} et B\coord{-4}{-6}.

\begin{align*}
\rm AB & = \sqrt{\big(-4-(-1)\big)^2+\big(-6-(-3)\big)^2}\\
& = \sqrt{(-3)^2+(-3)^2}\\
& = \sqrt{9+9}\\
& = \sqrt{18}\\
\Aboxed{\rm AB & = 3\sqrt{2}}
\end{align*}

\item A\coord{3}{-2} et B\coord{-2}{7}.
\begin{align*}
\rm AB & = \sqrt{(-2-3)^2+\big(7-(-2)\big)^2}\\
& = \sqrt{(-5)^2+9^2}\\
& = \sqrt{25+81}\\
\Aboxed{\rm AB & = \sqrt{106}}
\end{align*}

\item A\coord{1}{-2} et B\coord{7}{-5}.
\begin{align*}
\rm AB & = \sqrt{(7-1)^2+\big(-5-(-2)\big)^2}\\
& = \sqrt{6^2+(-3)^2}\\
& = \sqrt{36+9}\\
& = \sqrt{45}\\
& = \sqrt{9\times5}\\
& = \sqrt{9}\times\sqrt{5}\\
\Aboxed{\rm AB & = 3\sqrt{5}}
\end{align*}

\item A\coord{1}{4} et B\coord{-2}{-1}.
\begin{align*}
\rm AB & = \sqrt{(-2-1)^2+(-1-4)^2}\\
& = \sqrt{9+25}\\
& = \sqrt{34}\\
\Aboxed{\rm AB & = \sqrt{34}}
\end{align*}
\end{enumerate}