:
1. √56
2. √1444
3. √4489
4. √6241
5. √7056
6. √9O25
7. √11449
8. √14161
9. √10404
10. √7956
11. √19600
12. √92416
13. Find the least number which must be subtracted from 8105 to make it a perfect square.
14. Find the least number which must be subtracted from 7060 to obtain a perfect square.
15. Find the least number which must be added to 306455 to obtain a perfect square.
16. Find the least number which must be added to 8400 to obtain a perfect square. Find this perfect square and its square root.
17. Find the least number of four digits (4 digits) which is a perfect square. Also find the square root of the number so obtained.
18. Find the greatest number of five digits (5 digits) which is a perfect square. Also find the square root of the number so obtained
Answers
Answer:
1. 7.48331
2. 38
3. 67
4. 79
5. 84
6. 95
7. 107
8. 119
9. 102
10. 89.19
11. 304
12. 5 is the least number that must be subtracted from 8105 to make it a perfect square.
14. So, 4 should be subtracted from 7060 to make it perfect square .
15. Therefore 461 should be added to 306455 to get a perfect square
16. Consider, Therefore, the least number is 64 which must be added to 8400 to get the perfect square. Thus, the square root of the number 8464 is 92.
17. 1024
Greatest number of four digits = 1000. (32)2 is more than 1000 by 24. So, the least number to be added to 1000 is 24. Therefore, the smallest four digit number which is a perfect square is 1024.
18. So for finding 5 digit perfect square we will have to subtract 143 from 99999. => 99999-143 = 99856. Hence 99856 is a perfect square whose square root is √99856 = 316.
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Answer:
Answer:
1. 7.48331
2. 38
3. 67
4. 79
5. 84
6. 95
7. 107
8. 119
9. 102
10. 89.19
11. 304
12. 5 is the least number that must be subtracted from 8105 to make it a perfect square.
14. So, 4 should be subtracted from 7060 to make it perfect square .
15. Therefore 461 should be added to 306455 to get a perfect square
16. Consider, Therefore, the least number is 64 which must be added to 8400 to get the perfect square. Thus, the square root of the number 8464 is 92.
17. 1024
Greatest number of four digits = 1000. (32)2 is more than 1000 by 24. So, the least number to be added to 1000 is 24. Therefore, the smallest four digit number which is a perfect square is 1024.
18. So for finding 5 digit perfect square we will have to subtract 143 from 99999. => 99999-143 = 99856. Hence 99856 is a perfect square whose square root is √99856 = 316.
Explanation:
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