Subjects algebra

7Th Root Negative

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7Th Root Negative


1. Problem: Calculate the 7th root of -29 ($\sqrt[7]{-29}$) to 2 decimal places using a calculator. 2. Since the root is odd (7), the root of a negative number is also negative: $\sqrt[7]{-29} = -\sqrt[7]{29}$. 3. Using a calculator, find $\sqrt[7]{29} \approx 1.62$ to 2 decimal places. 4. Therefore, $\sqrt[7]{-29} = -1.62$. Final answer: $\boxed{-1.62}$