Answer :

To estimate the square root of 1,398, we can follow these steps:

1. Identify Nearby Perfect Squares: First, we look for perfect squares that are close to 1,398. We know:
- [tex]\( 37^2 = 1,369 \)[/tex]
- [tex]\( 38^2 = 1,444 \)[/tex]

From this, we observe that [tex]\(\sqrt{1,398}\)[/tex] is between 37 and 38 because 1,398 is between 1,369 and 1,444.

2. Narrow Down the Approximation: Considering the options provided:
- 38.1
- 37.2
- 37.4
- 36.9

We can narrow our choice based on how close 1,398 is to the nearby perfect squares:
- 1,398 is closer to 1,369 than it is to 1,444. Therefore, [tex]\(\sqrt{1,398}\)[/tex] should be closer to 37 than to 38.

3. Select the Correct Option: Given the result from the accurate computation, the closest approximate value is [tex]\(37.4\)[/tex].

Thus, the estimated value of [tex]\(\sqrt{1,398}\)[/tex] is closest to 37.4.

Thanks for taking the time to read Estimate the following square root tex sqrt 1 398 approx tex A 38 1 B 37 2 C 37 4 D 36 9. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada