Get insightful responses to your questions quickly and easily on IDNLearn.com. Join our knowledgeable community and access a wealth of reliable answers to your most pressing questions.
Sagot :
To find the least number that must be added to a given number to get a perfect square, and to determine the square root of that perfect square, we can follow these steps. Here's the detailed solution for each number:
1. Number: 437
- The least number to add to 437 to get a perfect square is 4.
- The perfect square obtained is 441 (437 + 4).
- The square root of 441 is 21.
So, the least number to add is [tex]\( 4 \)[/tex] and the square root is [tex]\( 21 \)[/tex].
2. Number: 6352
- The least number to add to 6352 to get a perfect square is 48.
- The perfect square obtained is 6400 (6352 + 48).
- The square root of 6400 is 80.
So, the least number to add is [tex]\( 48 \)[/tex] and the square root is [tex]\( 80 \)[/tex].
3. Number: 731
- The least number to add to 731 to get a perfect square is 53.
- The perfect square obtained is 784 (731 + 53).
- The square root of 784 is 28.
So, the least number to add is [tex]\( 53 \)[/tex] and the square root is [tex]\( 28 \)[/tex].
4. Number: 2478
- The least number to add to 2478 to get a perfect square is 22.
- The perfect square obtained is 2500 (2478 + 22).
- The square root of 2500 is 50.
So, the least number to add is [tex]\( 22 \)[/tex] and the square root is [tex]\( 50 \)[/tex].
5. Number: 936
- The least number to add to 936 to get a perfect square is 25.
- The perfect square obtained is 961 (936 + 25).
- The square root of 961 is 31.
So, the least number to add is [tex]\( 25 \)[/tex] and the square root is [tex]\( 31 \)[/tex].
6. Number: 9317
- The least number to add to 9317 to get a perfect square is 92.
- The perfect square obtained is 9409 (9317 + 92).
- The square root of 9409 is 97.
So, the least number to add is [tex]\( 92 \)[/tex] and the square root is [tex]\( 97 \)[/tex].
Summarizing:
- For [tex]\( 437 \)[/tex]: Add [tex]\( 4 \)[/tex] to get a perfect square with a square root of [tex]\( 21 \)[/tex].
- For [tex]\( 731 \)[/tex]: Add [tex]\( 53 \)[/tex] to get a perfect square with a square root of [tex]\( 28 \)[/tex].
- For [tex]\( 936 \)[/tex]: Add [tex]\( 25 \)[/tex] to get a perfect square with a square root of [tex]\( 31 \)[/tex].
- For [tex]\( 2478 \)[/tex]: Add [tex]\( 22 \)[/tex] to get a perfect square with a square root of [tex]\( 50 \)[/tex].
- For [tex]\( 6352 \)[/tex]: Add [tex]\( 48 \)[/tex] to get a perfect square with a square root of [tex]\( 80 \)[/tex].
- For [tex]\( 9317 \)[/tex]: Add [tex]\( 92 \)[/tex] to get a perfect square with a square root of [tex]\( 97 \)[/tex].
1. Number: 437
- The least number to add to 437 to get a perfect square is 4.
- The perfect square obtained is 441 (437 + 4).
- The square root of 441 is 21.
So, the least number to add is [tex]\( 4 \)[/tex] and the square root is [tex]\( 21 \)[/tex].
2. Number: 6352
- The least number to add to 6352 to get a perfect square is 48.
- The perfect square obtained is 6400 (6352 + 48).
- The square root of 6400 is 80.
So, the least number to add is [tex]\( 48 \)[/tex] and the square root is [tex]\( 80 \)[/tex].
3. Number: 731
- The least number to add to 731 to get a perfect square is 53.
- The perfect square obtained is 784 (731 + 53).
- The square root of 784 is 28.
So, the least number to add is [tex]\( 53 \)[/tex] and the square root is [tex]\( 28 \)[/tex].
4. Number: 2478
- The least number to add to 2478 to get a perfect square is 22.
- The perfect square obtained is 2500 (2478 + 22).
- The square root of 2500 is 50.
So, the least number to add is [tex]\( 22 \)[/tex] and the square root is [tex]\( 50 \)[/tex].
5. Number: 936
- The least number to add to 936 to get a perfect square is 25.
- The perfect square obtained is 961 (936 + 25).
- The square root of 961 is 31.
So, the least number to add is [tex]\( 25 \)[/tex] and the square root is [tex]\( 31 \)[/tex].
6. Number: 9317
- The least number to add to 9317 to get a perfect square is 92.
- The perfect square obtained is 9409 (9317 + 92).
- The square root of 9409 is 97.
So, the least number to add is [tex]\( 92 \)[/tex] and the square root is [tex]\( 97 \)[/tex].
Summarizing:
- For [tex]\( 437 \)[/tex]: Add [tex]\( 4 \)[/tex] to get a perfect square with a square root of [tex]\( 21 \)[/tex].
- For [tex]\( 731 \)[/tex]: Add [tex]\( 53 \)[/tex] to get a perfect square with a square root of [tex]\( 28 \)[/tex].
- For [tex]\( 936 \)[/tex]: Add [tex]\( 25 \)[/tex] to get a perfect square with a square root of [tex]\( 31 \)[/tex].
- For [tex]\( 2478 \)[/tex]: Add [tex]\( 22 \)[/tex] to get a perfect square with a square root of [tex]\( 50 \)[/tex].
- For [tex]\( 6352 \)[/tex]: Add [tex]\( 48 \)[/tex] to get a perfect square with a square root of [tex]\( 80 \)[/tex].
- For [tex]\( 9317 \)[/tex]: Add [tex]\( 92 \)[/tex] to get a perfect square with a square root of [tex]\( 97 \)[/tex].
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Your search for answers ends at IDNLearn.com. Thank you for visiting, and we hope to assist you again soon.