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Radical Roots

Algebra Level 3

We know that \(2^3 < 3^2\).
What is the relationship between \(2^{1/2} \) and \(3^{1/3} \)?

\[ 2^{1/2} < 3^{1/3} \] \[ 2^{1/2} = 3^{1/3} \] \[ 2^{1/2} > 3^{1/3} \]

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by Pi Han Goh

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