ince square root of, end square root
2
2
equals=
and square root of, end square root
2
2
equals=
it is known that square root of, 71, end square root
71
is between
and
.
Since the square root of 2 equals approximately 1.41, and the square root of 3 equals approximately 1.73, we can conclude that the square root of 71 is between 8.44 and 8.45.
wrong
I apologize for the incorrect response. Let's correct it.
Since the square root of 2 is approximately 1.41, and the square root of 3 is approximately 1.73, we cannot directly determine where the square root of 71 lies between 1.41 and 1.73. We need to use a different method to find a more accurate estimate.
One approach is to use trial and error by squaring different numbers to get close to 71. Let's try squaring a few numbers:
- If we square 8, we get 64, which is too low.
- If we square 9, we get 81, which is too high.
Based on this, we can conclude that the square root of 71 is between 8 and 9. However, we can also make a more accurate estimation.
Taking an average between 8 and 9, we get 8.5. Now, let's square 8.5:
8.5^2 = 72.25
Since 72.25 is slightly higher than 71, we can conclude that the square root of 71 is slightly less than 8.5. Therefore, a better estimate would be that the square root of 71 is between 8 and 8.5.
Please note that this method only gives an approximation and to find the precise value, you would need to use a calculator or mathematical software.