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merchandize
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20.784

miah
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simplified

garrett_payne
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bring 2 inside the square root
\[2=\sqrt{4}\]
the \[\sqrt{4*108}=\sqrt{432}=20.78\]

garrett_payne
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get it?

miah
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A: 12√3
B: 6√3
C: 144√3
D: 8√3

anonymous
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your job is to look for perfect squares that are factors of 108

miah
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I dont know how to do that.

anonymous
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since it is divisible both by 4 and by 9, it is divisible by 36

anonymous
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in fact, \(108=36\times 3\)

garrett_payne
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similar if you take out of the square root
\[\sqrt{432}= \sqrt{144*3}=12\sqrt{3}\]

anonymous
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so
\[\sqrt{108}=\sqrt{36\times 3}=\sqrt{36}\sqrt{3}=6\sqrt{3}\]

anonymous
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if your question is
\[2\sqrt{108}\] then the answer would be
\[12\sqrt{3}\]

miah
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Thanks !