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Mathematics
CarmelitaCameron
Feb 4, 2018, 8:57:00 PM
22

what is the square root of 216?

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(1) Answers
lyssie11234
Feb 5, 2018, 8:05:01 AM

[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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