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[latex]\sqrt{216}=\sqrt{36\cdot6}=\sqrt{36}\cdot\sqrt6=6\sqrt6[/latex] [latex]216|2\\108|2\\.\ 54|2\\.\ 27|3\\.\ \ 9|3\\.\ \ 3|3\\.\ \ 1\\\\216=2^2\cdot3^2\cdot2\cdot3\\\\\sqrt{216}=\sqrt{2^2\cdot3^2\cdot2\cdot3}=\sqrt{2^2}\cdot\sqrt{3^2}\cdot\sqrt6=2\cdot3\cdot\sqrt6=6\sqrt6[/latex]
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