Add and Subtract Radicals Quick Check

Question

5 of 55 of 5 Items
Question
Jake runs 76–√
miles on Monday and 56–√
miles on Tuesday. What is the difference in miles run each day?(1 point)
Responses

46–√
4 start root 6 end root

212−−√
2 start root 12 end root

412−−√
4 start root 12 end root

26–√
2 start root 6 end root
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Answer 1

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

Jake ran \( 76\sqrt{} \) miles on Monday and \( 56\sqrt{} \) miles on Tuesday.

The difference can be calculated as follows:

\[ 76\sqrt{} - 56\sqrt{} \]

We can combine the terms:

\[ (76 - 56)\sqrt{} = 20\sqrt{} \]

To find the correct choice, let's check the available responses to look for \( 20\sqrt{} \):

1. \( 46\sqrt{} \)
2. \( 212\sqrt{} \)
3. \( 412\sqrt{} \)
4. \( 26\sqrt{} \)

None of the responses directly match \( 20\sqrt{} \). Could you please check if the provided values were typed correctly? If everything is accurate and no values are missing, the difference appears to be reduced to its simplest form.