4 years ago

Is the following expression shown the exact answer? 144π - 216√3 true or false

1 answer:

6 0

$144\pi - 216\sqrt{3} \\\\
144 = 2^4 \times 3^2\\\\
216 = 2^3 \times 3^3\\\\
\Longrightarrow~~\text{Common factor } = 2^3 \times 3^2 = 8 \times 9 = 72\\\\
\Longrightarrow~~
144\pi - 216\sqrt{3} = \boxed{72\Big(2\pi - 3\sqrt{3} \Big)}$

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