\(8.77 \mathrm{~m}\)
given: points
\(\mathrm{p}(8,5,3) \mathrm{Q}(2,1,-2)\)
\(\uparrow \uparrow \uparrow \uparrow \uparrow \uparrow\)
\(x_1 y_1 z_1 x_2 y_2 z_2\)
distance between \(P\) and \(Q\)
\begin{array}{l}
\text { PQ } \\
\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2+\left(\mathrm{z}_2-\mathrm{z}_1\right)^2} \\
\sqrt{(2-8)^2+(1-5)^2+(-2-3)^2} \\
=\sqrt{(-6)^2+(-4)^2+(-5)^2} \\
=\sqrt{36+16+25}=\sqrt{77}=8.77
\end{array}