Which number is closest to the square root of 71 ?
The Correct Answer and Explanation is:
To find the number closest to the square root of 71, we can start by identifying perfect squares near 71. The square root of 64 is 8, and the square root of 81 is 9. Since 71 is between 64 and 81, the square root of 71 will be between 8 and 9.
Now, let’s estimate it further. To narrow it down, we can calculate the square roots of numbers between 8 and 9.
- Start with 8.4:
8.42=70.568.4^2 = 70.568.42=70.56
This is very close to 71, but slightly less.
- Try 8.5:
8.52=72.258.5^2 = 72.258.52=72.25
This is just over 71.
Since 8.4^2 = 70.56 (which is slightly under 71) and 8.5^2 = 72.25 (which is slightly over 71), we can conclude that the square root of 71 is closer to 8.4.
Therefore, the number closest to the square root of 71 is 8.4.
