Which number line correctly compares √24 and 4.256?
A)
B)
C)
D)
Which number line correctly compares √24 and 4.256?
![[Deleted User]](https://quizzma.com/wp-content/plugins/WPQA/images/default-image.png "[Deleted User]"){kind=avatar}
Share
Quizzma Latest Questions
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
To determine which number line correctly compares √24 and 4.256, let’s first calculate √24.
√24 can be simplified as:
√24 = √(4 * 6) = √4 * √6 = 2√6.
Now, we estimate √6. Since 2.4² is 5.76 and 2.5² is 6.25, we know that √6 is approximately between 2.4 and 2.5.
Calculating further, we can find that:
2.45² = 6.0025, which indicates that √6 is slightly less than 2.45.
Thus,
√24 = 2√6 is approximately 2 * 2.45 = 4.9.
So, we know that:
√24 ≈ 4.9 and 4.256 < 4.9.
This means that √24 is greater than 4.256.
Now look at the number lines provided (A, B, C, D) and find the one where √24 is placed to the right of 4.256. This will indicate that √24 is indeed greater.
If you need further assistance or more details, please check the extended services page.