Simplifying Square Root Expressions

Name: _______________________________
Date: _______________________________

Instructions: Simplify each expression. Show your working where needed.

Part A: Basic Square Roots

Find the square root of each perfect square.

1. √16 = __________
2. √49 = __________
3. √81 = __________
4. √100 = __________
5. √144 = __________
6. √225 = __________

Part B: Square Roots with Coefficients

Simplify each expression.

7. 2√36 = __________
8. 5√4 = __________
9. 3√64 = __________
10. 4√25 = __________
11. 6√9 = __________
12. 7√16 = __________

Part C: Addition and Subtraction

Simplify each expression by first finding the square roots.

13. √25 + √36 = __________
14. √100 − √49 = __________
15. √81 + √9 = __________
16. 2√16 + 3√4 = __________
17. 5√9 − √25 = __________
18. √64 + 2√16 − √4 = __________

Part D: Challenge Problems

Simplify these more complex expressions.

19. 3√121 + 2√144 = __________
20. √196 − 4√25 + √1 = __________