To simplify the expression \( 216\sqrt{32713} \), we begin by identifying the factors and possible simplifications.
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Identify \( 216 \): \[ 216 = 6^3 \]
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Rewrite the expression: \[ 216\sqrt{32713} = 6^3\sqrt{32713} \]
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Leave \( \sqrt{32713} \) as is since it doesn't simplify further in a simple manner without additional context (like factoring or size information).
Therefore, the expression simplifies to: \[ 6^3\sqrt{32713} \]
- Since you are asking for an equivalent expression, we can write it as: \[ \frac{6^3}{1} \cdot \sqrt{32713} \]
Thus, the equivalent expression is: \[ 6^3\sqrt{32713} \]
If you want it in terms of simpler radical form, it would remain as: \[ 216\sqrt{32713} \]
Ultimately, confirming that \( 6^3 \) is 216 means it stands full. If there’s no factorization available for \( 32713 \) to simplify further, we keep it as is:
The final answer is: \( 6^3\sqrt{32713} \)