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To find the difference in miles run by Jake on Monday and Tuesday, we need to subtract the distance run on Tuesday from the distance run on Monday.
Jake runs:
- **Monday**: \( 7\sqrt{6} \) miles
- **Tuesday**: \( 5\sqrt{6} \) miles
The difference is calculated as follows:
\[
7\sqrt{6} - 5\sqrt{6} = (7 - 5)\sqrt{6} = 2\sqrt{6}
\]
Thus, the difference in miles run each day is \( 2\sqrt{6} \) miles.