Jake runs 76–√ miles on Monday and 56–√ miles on Tuesday. What is the difference in miles run each day?(1 point)
Responses
212−−√
2 start root 12 end root
26–√
2 start root 6 end root
46–√
4 start root 6 end root
412−−√
4 start root 12 end root
The difference in miles run each day is \(\boxed{46-\sqrt{6}}\) miles.
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.
The number of miles run on Monday is 76–√.
The number of miles run on Tuesday is 56–√.
Subtracting the number of miles run on Tuesday from the number of miles run on Monday:
(76–√) - (56–√)
To subtract the square roots, we need to have the same radical. Simplifying the expression, we get:
76–√ - 56–√
We can't simplify further since the radicals have different values under the square root sign. Thus, the difference in miles run each day is 76–√ - 56–√.
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.
Given that Jake runs 76–√ miles on Monday and 56–√ miles on Tuesday, let's calculate the difference.
Difference = (76–√) - (56–√)
To simplify this expression, we need to subtract the two radical terms separately and combine any like terms.
Subtracting the radical terms:
(76–√) - (56–√) = 76 – 56 – (√-√)
Simplifying the non-radical terms:
76 – 56 = 20
Simplifying the radical terms:
Even though the radical terms are the same (√), we cannot simply subtract them like regular numbers. Instead, we need to consider them as terms with the radical sign and try to simplify further.
√ - √ = 0
Combining the simplified terms:
20 - 0 = 20
Therefore, the difference in miles run each day is 20.