Question
approximate value to √30?
A: about 5.5
B: about 5.1
C: about 3.9
D: about 6.6
E: about 7.0
F: about 6.1
G: about 3.5
A: about 5.5
B: about 5.1
C: about 3.9
D: about 6.6
E: about 7.0
F: about 6.1
G: about 3.5
Answers
GPT-4o mini
To approximate the value of √30, we can look at the perfect squares close to 30. We know that:
- \(5^2 = 25\)
- \(6^2 = 36\)
Since \(30\) is between \(25\) and \(36\), we know that \(√30\) will be between \(5\) and \(6\).
To get a more precise approximation, we can try some values in that range:
- \(5.5^2 = 30.25\) (too high)
- \(5.4^2 = 29.16\) (too low)
- \(5.3^2 = 28.09\) (too low)
- \(5.6^2 = 31.36\) (too high)
Since \(5.5\) is slightly more than \(√30\), we estimate that \(√30\) is approximately \(5.5\).
Thus, the closest choice from your list is:
A: about 5.5.
- \(5^2 = 25\)
- \(6^2 = 36\)
Since \(30\) is between \(25\) and \(36\), we know that \(√30\) will be between \(5\) and \(6\).
To get a more precise approximation, we can try some values in that range:
- \(5.5^2 = 30.25\) (too high)
- \(5.4^2 = 29.16\) (too low)
- \(5.3^2 = 28.09\) (too low)
- \(5.6^2 = 31.36\) (too high)
Since \(5.5\) is slightly more than \(√30\), we estimate that \(√30\) is approximately \(5.5\).
Thus, the closest choice from your list is:
A: about 5.5.