whats the square root of 39 to the nearest integer
The Correct Answer and Explanation is:
The square root of 39 is approximately 6.244. To the nearest integer, this value is 6.
Explanation:
To find the square root of a number, you’re essentially looking for a value that, when multiplied by itself, gives you the original number. In this case, we are looking for a number that, when squared, is as close as possible to 39.
- Estimate:
- We know that the square root of 36 is 6, and the square root of 49 is 7. Since 39 is between 36 and 49, we can estimate that the square root of 39 will be between 6 and 7.
- Refining the estimate:
- We can calculate that the square root of 39 is approximately 6.244. This can be found using a calculator or through methods like the long division method or Newton’s method for square roots.
- Rounding:
- To the nearest integer, we round 6.244 down to 6, since the decimal part (0.244) is closer to 0 than to 1.
Why it’s useful:
Knowing how to find square roots to the nearest integer is handy for estimating values in math and science, especially when you need quick approximations without the need for an exact value. For instance, in real-world scenarios like physics, engineering, or even daily calculations, we often round to the nearest integer when precision beyond this is unnecessary.
