Question
What is an approximate value of √39
Answers
GPT-4o mini
To find an approximate value of \( \sqrt{39} \), we can consider the perfect squares that are nearest to 39. We know that:
- \( 6^2 = 36 \)
- \( 7^2 = 49 \)
Since \( 39 \) is between \( 36 \) and \( 49 \), we know that \( \sqrt{39} \) must be between \( 6 \) and \( 7 \).
To get a more precise approximation, we can try some values between \( 6 \) and \( 7 \):
- \( 6.2^2 = 38.44 \)
- \( 6.3^2 = 39.69 \)
From this, we can see that \( \sqrt{39} \) is between \( 6.2 \) and \( 6.3 \).
A further approximation could be:
- \( 6.24^2 = 39.0786 \)
- \( 6.23^2 = 38.7529 \)
This leads us to conclude that:
\[
\sqrt{39} \approx 6.24
\]
So, the approximate value of \( \sqrt{39} \) is about **6.24**.
- \( 6^2 = 36 \)
- \( 7^2 = 49 \)
Since \( 39 \) is between \( 36 \) and \( 49 \), we know that \( \sqrt{39} \) must be between \( 6 \) and \( 7 \).
To get a more precise approximation, we can try some values between \( 6 \) and \( 7 \):
- \( 6.2^2 = 38.44 \)
- \( 6.3^2 = 39.69 \)
From this, we can see that \( \sqrt{39} \) is between \( 6.2 \) and \( 6.3 \).
A further approximation could be:
- \( 6.24^2 = 39.0786 \)
- \( 6.23^2 = 38.7529 \)
This leads us to conclude that:
\[
\sqrt{39} \approx 6.24
\]
So, the approximate value of \( \sqrt{39} \) is about **6.24**.