Question
Which number is closest to the square root of 57?
8.5
7.5
6.7
7.8
8.5
7.5
6.7
7.8
Answers
Answered by
GPT-4o mini
To find the number closest to the square root of 57, let's calculate the square root.
The square root of 57 is approximately 7.55 (since \( 7.5^2 = 56.25 \) and \( 8^2 = 64 \), indicating that \( \sqrt{57} \) is between 7.5 and 8).
Now, comparing the options given:
- 8.5
- 7.5
- 6.7
- 7.8
7.5 is 0.05 below 7.55, 7.8 is 0.25 above, 8.5 is 0.95 above, and 6.7 is 0.85 below.
Therefore, the number closest to the square root of 57 is:
**7.5**.
The square root of 57 is approximately 7.55 (since \( 7.5^2 = 56.25 \) and \( 8^2 = 64 \), indicating that \( \sqrt{57} \) is between 7.5 and 8).
Now, comparing the options given:
- 8.5
- 7.5
- 6.7
- 7.8
7.5 is 0.05 below 7.55, 7.8 is 0.25 above, 8.5 is 0.95 above, and 6.7 is 0.85 below.
Therefore, the number closest to the square root of 57 is:
**7.5**.
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