To determine the root form of the expression \(1258 \cdot 12 - 12\), we need to simplify the expression first.
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Start with the expression: \[ 1258 \cdot 12 - 12 \]
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Factor out \(12\): \[ = 12(1258 - 1) \]
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Simplify inside the parentheses: \[ = 12 \cdot 1257 \]
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Now, to express this as a root form, we can consider it in terms of square roots or another root if applicable. However, \(1257\) does not have a perfect square factor, so we will keep it in this factored form.
The root form does not yield a single index like a square root, cube root, etc., as the expression simplifies to a product rather than a root.
If you're looking for a specific representation involving roots, you would not typically express \(12 \cdot 1257\) in a root form.
Thus, without additional context, we can conclude that the expression simplifies to \(12 \cdot 1257\) and does not directly correspond to a specific index form unless more information is provided regarding the desired transformation or manipulation.
If you meant a different aspect of "index," please clarify further, and I would be happy to assist!
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