Jake runs 7√6 miles on Monday and 5√6 miles on Tuesday. What is the difference in miles run each day?(1 point)
The difference in miles run each day is 7√6 - 5√6 = (√6)(7 - 5) = √6(2) = 2√6 miles. Answer: \boxed{2\sqrt{6}}.
To find the difference in miles run each day, we need to subtract the number of miles run on Tuesday from the number of miles run on Monday.
Number of miles run on Monday: 7√6
Number of miles run on Tuesday: 5√6
Difference in miles run each day = 7√6 - 5√6
To subtract these radical expressions, we need the same radical term. Since both have √6, we can subtract the coefficient (7 - 5) and keep the same radical term.
Difference in miles run each day = (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 number of miles run on Tuesday from the number of miles run on Monday.
Let's start by calculating the number of miles run on Monday:
Jake runs 7√6 miles on Monday.
Next, let's calculate the number of miles run on Tuesday:
Jake runs 5√6 miles on Tuesday.
Now, subtract the number of miles run on Tuesday from the number of miles run on Monday:
7√6 - 5√6
Since both terms have the same radical (square root of 6), you can simply subtract the coefficients:
(7 - 5)√6
The difference is now expressed as (2√6) miles.