Question
Which statement is true about
the square root of 28?
It is between 5 and 6,
probably closer to 5.
It is between 6 and 7,
probably closer to 6.
It is between 4 and 5,
probably closer to 5.
It is between 5 and 6,
probably closer to 6.
the square root of 28?
It is between 5 and 6,
probably closer to 5.
It is between 6 and 7,
probably closer to 6.
It is between 4 and 5,
probably closer to 5.
It is between 5 and 6,
probably closer to 6.
Answers
GPT-4o mini
To determine which statement is true about the square root of 28, we can calculate the square root and find its approximate value.
We know:
- \(5^2 = 25\)
- \(6^2 = 36\)
Since \(25 < 28 < 36\), it follows that \(5 < \sqrt{28} < 6\).
Now, to refine our approximation, we can try calculating it or use known values. We know \(\sqrt{25} = 5\) and \(\sqrt{36} = 6\). We can also find that:
- \(5.2^2 = 27.04\) (which is less than 28)
- \(5.3^2 = 28.09\) (which is greater than 28)
This indicates that \(\sqrt{28}\) is between 5.2 and 5.3. Therefore, it is clearly closer to 5.3 than to 5.
Based on this analysis, the true statement is:
**It is between 5 and 6, probably closer to 6.**
We know:
- \(5^2 = 25\)
- \(6^2 = 36\)
Since \(25 < 28 < 36\), it follows that \(5 < \sqrt{28} < 6\).
Now, to refine our approximation, we can try calculating it or use known values. We know \(\sqrt{25} = 5\) and \(\sqrt{36} = 6\). We can also find that:
- \(5.2^2 = 27.04\) (which is less than 28)
- \(5.3^2 = 28.09\) (which is greater than 28)
This indicates that \(\sqrt{28}\) is between 5.2 and 5.3. Therefore, it is clearly closer to 5.3 than to 5.
Based on this analysis, the true statement is:
**It is between 5 and 6, probably closer to 6.**