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I simplified the cube root expression into two:

$10\sqrt[3]{2}$ and $-10\sqrt[3]{-2}$. Both yield the same approximation when I solved them using calculator. Which is correct? Or both should be answered if the question is simplifying?

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2 Answers 2

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Note that $\sqrt[3]{-x}=-\sqrt[3]{x}$ for any real number $x$, so the two expressions are equal. The one without the minus signs ($10\sqrt[3]{2}$) looks simpler though, so I would use that for the simplified form.

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Both are correct indeed, but $-10\sqrt[3]{-2}$ has two more $-$ signs than $10\sqrt[3]{2}$ and therefore this last expression is simpler.

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