To divide \( 1215\sqrt{3} \), we need to clarify the context of "divide" and what you're specifically dividing by. Assuming that you're looking to simplify or express \( 1215\sqrt{3} \) in a different form, we can break it down based on the hint provided.
When the hint suggests that "the 3 does not have a bracket with number in it," it can imply treating \( \sqrt{3} \) separately from any other operations that might involve \( 1215 \).
Let's first find the square root of \( 1215 \) and isolate \( \sqrt{3} \):
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Factor \( 1215 \): \[ 1215 = 3^2 \times 135 = 3^2 \times 3 \times 45 = 3^3 \times 15 \]
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Now, we can take the square root: \[ \sqrt{1215} = \sqrt{3^3 \times 15} = 3 \times \sqrt{3 \times 15} = 3\sqrt{45} \]
Thus, \[ 1215\sqrt{3} = 3\sqrt{45} \times \sqrt{3} = 3\sqrt{135} \]
To explore potential options from the responses:
- \( 415\sqrt{} \)
- \( 4\sqrt{15} \)
- \( 45\sqrt{} \)
None of these options directly match, but it's potential that you want to see the simplified version of \( 1215\sqrt{3} \).
If the goal is to divide \( 1215\sqrt{3} \) by a specific number or extract certain conditions, please provide further details on the division operation desired.
Otherwise, the closest and properly simplified formats from the processes above would look like:
\[ \sqrt{1215}\sqrt{3} = \sqrt{1215 \cdot 3} = \sqrt{3645} \]
If more clarification on what to divide \( 1215\sqrt{3} \) by, or exact operations on that would assist, please provide more details!
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