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When simplified, what is the value of \(\sqrt{3} \times 3^{\frac{1}{2}} + 12 \div 3 \times 2 - 4^{\frac{3}{2}} \)

 May 6, 2020
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\(\begin{align*} \sqrt{3} \times 3^{\frac{1}{2}} + 12 \div 3 \times 2 - 4^{\frac{3}{2}} &= \sqrt{3} \times \sqrt{3} + 8 - (\sqrt{2})^3 \\ &= 3 + 8 - 8 \\ &= \boxed{3} \end{align*}\)

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 May 6, 2020

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