To calculate \(3.7^2\) and \(3.8^2\):
-
For \(3.7^2\): \[ 3.7 \times 3.7 = 13.69 \]
-
For \(3.8^2\): \[ 3.8 \times 3.8 = 14.44 \]
Now, to find the value of \(\sqrt{14}\):
We know that:
- \(3.7^2 = 13.69\) (which is less than 14)
- \(3.8^2 = 14.44\) (which is greater than 14)
Thus, \(\sqrt{14}\) is between \(3.7\) and \(3.8\).
So, the answers are:
- \(3.7^2 = 13.69\)
- \(3.8^2 = 14.44\)
- \(\sqrt{14}\) is between \(3.7\) and \(3.8\).