Square Roots on a Number Line

Name: _______________________________
Date: _______________________________

Remember: The square root of a number is the value that, when multiplied by itself, gives that number.

Example: √25 = 5 because 5 × 5 = 25

Part A: Perfect Squares Review

Fill in the missing values:

1. √4 = __________
2. √9 = __________
3. √16 = __________
4. √36 = __________
5. √49 = __________
6. √64 = __________

Part B: Place Square Roots on Number Lines

Mark the approximate position of each square root with an arrow (↓) on the number line.

7. √10

0 2 4 6 8 10

8. √20

0 2 4 6 8 10

9. √50

0 2 4 6 8 10 12

10. √30

4 5 6 7 8

Part C: Challenge Questions

11. Between which two whole numbers does √45 lie? __________ and __________

12. Which is larger: √17 or √18? __________

13. Estimate √75 to the nearest whole number: __________