Question

Estimate each square root to the nearest hundredth place and find the closest two integers in between:

1: √5
2: √21
3: √15
4: √3
5: √37
6: √29
7: √2
8: √51
9: √5 + 3
10: √17 + 16
11: 7 + √3
12: 6 + √12
13: 3, 3.1456, √10, 1/5 (Order from least to greatest)
14: -2 1/3, 0.8, √5, 2.17 (Order from least to greatest)
15: √5, 20/2, -3, 6 1/9 (Order from least to greatest)

Answer 1

The square roots of the given numbers have been estimated to the nearest hundredth place and the closest two integers in between have been identified.

Step-by-step explanation:

1. √5: The square root of 5 is approximately 2.24. The closest two integers in between are 2 and 3.
2. √21: The square root of 21 is approximately 4.58. The closest two integers in between are 4 and 5.
3. √15: The square root of 15 is approximately 3.87. The closest two integers in between are 3 and 4.
4. √3: The square root of 3 is approximately 1.73. The closest two integers in between are 1 and 2.
5. √37: The square root of 37 is approximately 6.08. The closest two integers in between are 6 and 7.
6. √29: The square root of 29 is approximately 5.39. The closest two integers in between are 5 and 6.
7. √2: The square root of 2 is approximately 1.41. The closest two integers in between are 1 and 2.
8. √51: The square root of 51 is approximately 7.14. The closest two integers in between are 7 and 8.
9. √5 + 3: √5 is approximately 2.24. Adding 3 gives us approximately 5.24. The closest two integers in between are 5 and 6.
10. √17 + 16: √17 is approximately 4.12. Adding 16 gives us approximately 20.12. The closest two integers in between are 20 and 21.
11. 7 + √3: √3 is approximately 1.73. Adding 7 gives us approximately 8.73. The closest two integers in between are 8 and 9.
12. 6 + √12: √12 is approximately 3.46. Adding 6 gives us approximately 9.46. The closest two integers in between are 9 and 10.
13. Order from least to greatest: 1/5, √10, 3.1456, 3.
14. Order from least to greatest: -2 1/3, √5, 0.8, 2.17.
15. Order from least to greatest: -3, √5, 20/2, 6 1/9.