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\( y \) combining the radical terms using the indicated operation(s). Assume all variables are positive. \[ -8 \sqrt{x}+\sqrt{x}-8 \sqrt[3]{6} \] \[ \]

Ask by Pierce Bond. in the United States
Mar 19,2025

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The expression simplifies to \( -7\sqrt{x} - 8\sqrt[3]{6} \).

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Bonus Knowledge

To combine the radical terms, focus on combining \( -8 \sqrt{x} \) and \( \sqrt{x} \) first. Since both have the same radical \( \sqrt{x} \), you can combine them as follows: \[ -8 \sqrt{x} + \sqrt{x} = (-8 + 1) \sqrt{x} = -7 \sqrt{x} \] The term \( -8 \sqrt[3]{6} \) does not have a like term to combine with, so it remains separate. Thus, the expression simplifies to: \[ -7 \sqrt{x} - 8 \sqrt[3]{6} \] Now, you have the combined expression featuring the radical terms neatly organized!

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