\(ĐK:x\ge1\\ PT\Leftrightarrow\sqrt{\left(\sqrt{x-1}-2\right)^2}+\sqrt{\left(\sqrt{x-1}-3\right)^2}=0\\ \Leftrightarrow\left|\sqrt{x-1}-2\right|+\left|\sqrt{x-1}-3\right|=0\\ \Leftrightarrow\left\{{}\begin{matrix}\sqrt{x-1}-2=0\\\sqrt{x-1}-3=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x-1=4\\x-1=9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=5\\x=10\end{matrix}\right.\\ \Leftrightarrow x\in\varnothing\)
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