Question

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

Answer 1

To find the index of the root form of the expression \( 1258 \cdot 12 - 12 \), we first simplify the expression.

1. Start by calculating \( 1258 \cdot 12 \):
\[
1258 \cdot 12 = 15096
\]
2. 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).