Mathematics
SuperS
2016-04-10 15:21:21
Is the following expression shown the exact answer? 144π - 216√3 true or false
ANSWERS
Lulu221
2016-04-10 20:31:48

    [latex]144pi - 216sqrt{3} \\ 144 = 2^4 imes 3^2\\ 216 = 2^3 imes 3^3\\ Longrightarrow~~ ext{Common factor } = 2^3 imes 3^2 = 8 imes 9 = 72\\ Longrightarrow~~ 144pi - 216sqrt{3} = oxed{72Big(2pi - 3sqrt{3} Big)}[/latex]

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