Question

What index should the root form of the expression 1258⋅12−12 have?(1 point)

Answer 1

To determine the root form of the expression \(1258 \cdot 12 - 12\), we need to simplify the expression first.

1. Start with the expression:
\[
1258 \cdot 12 - 12
\]

2. Factor out \(12\):
\[
= 12(1258 - 1)
\]

3. Simplify inside the parentheses:
\[
= 12 \cdot 1257
\]

4. 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!