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\(\large \color{black}{\begin{align} & 2\sqrt{54}+5\sqrt{24} \hspace{.33em}\\~\\ & =2\sqrt{9\times 6}+5\sqrt{4\times 6} \hspace{.33em}\\~\\ & =2\sqrt{9}\times \sqrt{6}+5\sqrt{4}\times \sqrt{6} \hspace{.33em}\\~\\ & =(2\sqrt{9}+5\sqrt{4}) \sqrt{6} \hspace{.33em}\\~\\ & =(2\times 3+5\times 2) \sqrt{6} \hspace{.33em}\\~\\ & =(6+10) \sqrt{6} \hspace{.33em}\\~\\ & =(16) \sqrt{6} \hspace{.33em}\\~\\ \end{align}}\)
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