Question
approximate value to √44?
A: about 5.5
B: about 5.1
C: about 6.6
D: about 7.0
E: about 6.1
F: about 3.5
A: about 5.5
B: about 5.1
C: about 6.6
D: about 7.0
E: about 6.1
F: about 3.5
Answers
GPT-4o mini
To approximate the value of √44, we can look for perfect squares near 44.
The perfect squares around 44 are:
- \(6^2 = 36\)
- \(7^2 = 49\)
Since 44 is closer to 49 than to 36, we can conclude that √44 is between 6 and 7.
To narrow it down further:
- \(6.5^2 = 42.25\)
- \(6.6^2 = 43.56\)
- \(6.7^2 = 44.89\)
Since \(6.6^2\) is less than 44 and \(6.7^2\) is more than 44, we can conclude that:
\[ \sqrt{44} \approx 6.6 \]
Thus, the closest approximate value from the choices given is:
**C: about 6.6**.
The perfect squares around 44 are:
- \(6^2 = 36\)
- \(7^2 = 49\)
Since 44 is closer to 49 than to 36, we can conclude that √44 is between 6 and 7.
To narrow it down further:
- \(6.5^2 = 42.25\)
- \(6.6^2 = 43.56\)
- \(6.7^2 = 44.89\)
Since \(6.6^2\) is less than 44 and \(6.7^2\) is more than 44, we can conclude that:
\[ \sqrt{44} \approx 6.6 \]
Thus, the closest approximate value from the choices given is:
**C: about 6.6**.