To find the difference in miles that Jake ran on Monday and Tuesday, we subtract the distances:
Distance run on Monday: \( 7\sqrt{6} \) miles
Distance run on Tuesday: \( 5\sqrt{6} \) miles
Difference:
\[
7\sqrt{6} - 5\sqrt{6} = (7 - 5)\sqrt{6} = 2\sqrt{6}
\]
Thus, the difference in miles run each day is \( 2\sqrt{6} \) miles.