To find the index of the root form of the expression \( 1258 \cdot 12 - 12 \), we first simplify the expression.
- Start by calculating \( 1258 \cdot 12 \): \[ 1258 \cdot 12 = 15096 \]
- Now subtract \( 12 \) from that result: \[ 15096 - 12 = 15084 \]
Now we have the expression simplified down to \( 15084 \).
Next, we want to express \( 15084 \) in its root form. The index of a root typically refers to the degree of the root; for example, a square root has an index of 2, and a cube root has an index of 3.
If you're asking about a specific index to represent \( 15084 \) as a root (like square root, cube root, etc.), the most common form is usually the square root unless specified otherwise.
Thus, if we take the square root: \[ \sqrt{15084} \] The index here is 2.
If you meant something different by "index" or if you have specific constraints, please clarify. Otherwise, the final answer is:
2 (for the square root).
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