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hat is \( \frac{\sqrt[3]{3}}{\sqrt[3]{2 x}} \) in simplest form?

Ask by Paul Bates. in the United States
Mar 11,2025

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The expression simplifies to \( \frac{\sqrt[3]{12x^{2}}}{2x} \).

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Bonus Knowledge

To simplify \( \frac{\sqrt[3]{3}}{\sqrt[3]{2 x}} \), we can use the property of radicals that allows us to combine the cube roots. This expression can be rewritten as: \[ \frac{\sqrt[3]{3}}{\sqrt[3]{2 x}} = \sqrt[3]{\frac{3}{2 x}} \] Thus, the simplest form of the expression is: \[ \sqrt[3]{\frac{3}{2 x}} \]

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