To simplify the expression \( 1258 \cdot 12 - 12 \), we can factor out the \( 12 \):
\[ 1258 \cdot 12 - 12 = 12(1258 - 1) = 12 \cdot 1257 \]
Thus, the expression simplifies to \( 12 \cdot 1257 \).
If you are asking about the "index" of this expression, it could relate to a few different contexts—such as the index of a square root or a logarithm—but without additional context, it's hard to determine precisely which index you mean.
Assuming it relates to the root (like square root), then the simplified end result might be expressed as:
\[ \sqrt{(12 \cdot 1257)^2} \quad \text{which gives an index of } 2. \]
For \( 12 \cdot 1257 \) if you were to take a square root specifically, it's \( 2 \).
If you intended a different interpretation by "index," please provide a bit more context for a more tailored answer!
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