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what is 2√108
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20.784
simplified
bring 2 inside the square root \[2=\sqrt{4}\] the \[\sqrt{4*108}=\sqrt{432}=20.78\]
get it?
A: 12√3 B: 6√3 C: 144√3 D: 8√3
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your job is to look for perfect squares that are factors of 108
I dont know how to do that.
since it is divisible both by 4 and by 9, it is divisible by 36
in fact, \(108=36\times 3\)
similar if you take out of the square root \[\sqrt{432}= \sqrt{144*3}=12\sqrt{3}\]
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so \[\sqrt{108}=\sqrt{36\times 3}=\sqrt{36}\sqrt{3}=6\sqrt{3}\]
if your question is \[2\sqrt{108}\] then the answer would be \[12\sqrt{3}\]
Thanks !
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