Jake runs 7sqrt(6) miles on Monday and 5sqrt(6) miles on Tuesday. What is the difference in miles run each day? (1 point)
2sqrt(12)
O 4sqrt(12)
O 4sqrt(6)
2sqrt(6)
The difference in miles run each day is equal to the absolute value of the difference between the number of miles run on Monday and Tuesday.
So, the difference in miles run each day is equal to |7√(6) - 5√(6)| = |2√(6)|
Simplifying the expression gives: 2√(6)
Therefore, the correct option is 2√(6).
To find the difference in miles run each day, we subtract the distance run on Tuesday from the distance run on Monday:
Distance run on Monday - Distance run on Tuesday
= 7√6 - 5√6
Since both terms have the same radical (√6), we can subtract the coefficients:
= (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, we need to subtract the distance Jake ran on Tuesday from the distance he ran on Monday.
On Monday, Jake ran 7√6 miles.
On Tuesday, Jake ran 5√6 miles.
The formula to find the difference is:
Difference = Distance on Monday - Distance on Tuesday
Difference = 7√6 - 5√6
To simplify the expression, we need to combine like terms. In this case, both terms have the same radical, which is √6.
Difference = (7 - 5)√6
Difference = 2√6
So, the difference in miles run each day is 2√6.
Therefore, the correct answer is 2√6.