To find the difference in miles run each day, we need to calculate the difference between the distances Jake ran on Monday and Tuesday.
Jake's distance on Monday is \( 7 \sqrt{6} \) miles, and on Tuesday, it's \( 5 \sqrt{6} \) miles.
Now, we can find the difference:
\[ \text{Difference} = (7 \sqrt{6}) - (5 \sqrt{6}) = (7 - 5) \sqrt{6} = 2 \sqrt{6} \]
So, the difference in miles run each day is \( 2 \sqrt{6} \) miles.