ANSWER:
7.8 units
STEP-BY-STEP EXPLANATION:
We have the following points:
[tex]\begin{gathered} P(8,2) \\ Q(3,8) \end{gathered}[/tex]In this case, we must apply the following formula to calculate the distance between both points:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]replacing:
[tex]\begin{gathered} d=\sqrt[]{(3-8)^2+(8-2_{})^2} \\ d=\sqrt[]{(-5)^2+(6_{})^2} \\ d=\sqrt[]{25+36} \\ d=\sqrt[]{61} \\ d=7.8 \end{gathered}[/tex]The distance between both points is 7.8 units