ĐKXĐ: ...
\(m-1-2\sqrt{m-1}+1+n-2-4\sqrt{n-2}+4+p-3-6\sqrt{p-3}+9=0\)
\(\Leftrightarrow\left(\sqrt{m-1}-1\right)^2+\left(\sqrt{n-2}-2\right)^2+\left(\sqrt{p-3}-3\right)^2=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}\sqrt{m-1}-1=0\\\sqrt{n-2}-2=0\\\sqrt{p-3}-3=0\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m=2\\n=6\\p=12\end{matrix}\right.\)