Comparing and Ordering Square Roots

Name: _____________________________
Date: _____________________________

Remember:

  • √1 = 1, √4 = 2, √9 = 3, √16 = 4, √25 = 5, √36 = 6, √49 = 7, √64 = 8, √81 = 9, √100 = 10
  • For non-perfect squares, estimate by finding the closest perfect squares

Part A: Compare the numbers using <, >, or =

1. √16 _____ 5
2. √25 _____ 4
3. √49 _____ 7
4. √36 _____ 8
5. √9 _____ 2
6. √64 _____ 9
7. 6 _____ √30
8. √50 _____ 7
9. √81 _____ 10
10. 5 _____ √20

Part B: Order the numbers from smallest to largest

11. 3, √16, √9, 5

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12. √25, 4, √36, 7

_____ , _____ , _____ , _____

13. √49, 8, √64, 6

_____ , _____ , _____ , _____

14. 2, √10, 4, √15

_____ , _____ , _____ , _____

15. √100, √81, 10, 8

_____ , _____ , _____ , _____

Part C: Challenge

16. Order from largest to smallest: √40, 7, √50, 6, √30

_____ , _____ , _____ , _____ , _____

17. Which is greater: √72 or 9? Explain your reasoning.

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18. Place these in order from smallest to largest: √5, 2, √12, 3, √20, 5

_____ , _____ , _____ , _____ , _____ , _____