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. For example, √16 = 4 because 4 × 4 = 16.

Part A: Mark the approximate position of each square root on the number line with an arrow and label.

1. √9, √25, √36

0
1
2
3
4
5
6

2. √4, √10, √20

0
1
2
3
4
5

3. √50, √64, √80

5
6
7
8
9
10

Part B: Between which two consecutive whole numbers does each square root lie?

4. √12 is between _______ and _______
5. √30 is between _______ and _______
6. √45 is between _______ and _______
7. √70 is between _______ and _______
8. √90 is between _______ and _______
9. √100 is between _______ and _______

Part C: Order these square roots from smallest to largest.

10. √16, √40, √25, √9 Answer: _____, _____, _____, _____
11. √81, √60, √49, √55 Answer: _____, _____, _____, _____