To rewrite the number 812 using a root, a suitable option is to express it as a root of a square.
One way to do this is to recognize that:
\[ 812 = (sqrt{812})^2 \]
However, from the options you've listed, none seem to directly represent that relationship. Let's analyze the options:
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8–√: This notation is unclear and does not represent any mathematical meaning related to the number 812.
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8–√1: This still does not correlate well with the number 812.
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8–√12: This does not equal 812 and is not the root form.
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12−−√8: This also doesn't relate to 812 or root forms clearly.
Given these points, here is how you could express 812 using a root, although it does not seem to match any option:
\[ 812 = \sqrt{812^2} \]
If you need to specifically choose one of the options provided, it seems they're not quite appropriate to express 812 with a root. If you have other options or if you'd like to clarify your requirement, let me know for further assistance!
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