Simplifying Square Root Expressions
Name: _____________________________
Date: _____________________________
Instructions: Simplify each expression. Show your working where needed.
Part A: Perfect Squares
Find the value of each square root.
1. √16 = ________________
2. √49 = ________________
3. √81 = ________________
4. √100 = ________________
5. √144 = ________________
6. √225 = ________________
Part B: Multiplying Square Roots
Simplify each expression.
7. √4 × √9 = ________________
8. √25 × √4 = ________________
9. √16 × √16 = ________________
10. √36 × √1 = ________________
11. 2 × √64 = ________________
12. 5 × √9 = ________________
Part C: Adding and Subtracting
Simplify each expression.
13. √36 + √64 = ________________
14. √100 - √25 = ________________
15. √49 + √81 = ________________
16. √144 - √16 = ________________
17. √4 + √9 + √16 = ________________
18. √121 - √36 = ________________
Part D: Mixed Operations
Simplify each expression.
19. 3 × √25 + √16 = ________________
20. √100 - 2 × √9 = ________________
21. √49 × √4 + √81 = ________________
22. √144 ÷ √16 = ________________
23. (√36 + √64) × 2 = ________________
24. √225 - (√49 + √36) = ________________