Jake runs 7√6 miles on Monday and 5√6 miles on Tuesday. What is the difference in miles run each day?(1 point)

Responses

2√12
2 start root 12 end root

4√6
4 start root 6 end root

4√12
4 start root 12 end root

2√6

To find the difference in miles run each day, we can subtract the distance run on Tuesday from the distance run on Monday.

So, the difference in miles run each day is 7√6 - 5√6.

Simplifying the expression, we have:

7√6 - 5√6 = (7 - 5)√6 = 2√6

Therefore, the difference in miles run each day is 2√6.

To find the difference in miles run each day, you need to subtract the distance Jake ran on Tuesday from the distance he ran on Monday.

The distance Jake ran on Monday is 7√6 miles.
The distance Jake ran on Tuesday is 5√6 miles.

So, to find the difference, you subtract the distance on Tuesday from the distance on Monday:

7√6 - 5√6

Since both terms have the same radical (√6), you can combine them by subtracting the coefficients:

(7 - 5)√6

Simplifying further:

2√6

Therefore, the difference in miles run each day is 2√6 miles.