1. Exercise Simplify 5x + 3y – x + 10y. 4x + 13y

2. Simplify 74 – 5m – 2m – 8. – 7m + 66 Exercise

3. Simplify 14w + 23 – 16n. already in simplified form Exercise

4. Simplify 17t – 6q + t + 8r. – 6q + 8r + 18t Exercise

5. Which property is used to add like terms? Distributive Property Exercise

6. 2x + 5x 2 √ 7 + 5 √ 7

7. √ a √ b = √ ab √ a + √ b ≠ √ a + b but

8. Simplify 6 √ 7 + 3 √ 2 – 2 √ 7. 6 √ 7 + 3 √ 2 – 2 √ 7 = 6 √ 7 – 2 √ 7 + 3 √ 2 = (6 – 2) √ 7 + 3 √ 2 = 4 √ 7 + 3 √ 2 Example 1

9. Simplify 4 √ 2 – 3 √ 5 + 2 √ 7. No simplification is possible. Unlike terms cannot be simplified further. Example 2

10. Simplify 3 √ 5 + 2 √ 5. 5 √ 55 √ 55 √ 55 √ 5 Example

11. Simplify 5 √ 11 + 3 √ 11. 8 √ 11 Example

12. Simplify 2 √ 3 + 3 √ 2 – 5 √ 2. 2 √ 3 – 2 √ 2 Example

13. Simplify 8√5 + 2√6 – √5 + 3√6. 7 √ 5 + 5 √ 6 Example

14. Simplify 3 √ 2 + 2 √ 5 – 3 √ 3. 3 √ 2 + 2 √ 5 – 3 √ 3 Example

15. Simplify 5 √ 12 + 3 √ 12 – √ 12. 14 √ 3 Example

16. 2 √ 12 + 8 √ 3

17. Simplify √ 27 + √ 12. √ 27 + √ 12 = √ 3 × 3 × 3 + √ 2 × 2 × 3 = (3 + 2) √ 3 = 5 √ 3 = 3 √ 3 + 2 √ 3 Example 3

18. Simplify 3√ 8 – 2 √ 18 – √ 12 + 4 √ 50. = 3 √ 2 × 2 × 2 + 2 √ 2 × 3 × 3 – √ 2 × 2 × 3 + 4 √ 2 × 5 × 5 = 6 √ 2 – 6 √ 2 – 2 √ 3 + 20 √ 2 = (6 – 6 + 20) √ 2 – 2 √ 3 = 20 √ 2 – 2 √ 3 Example 4

19. Simplify 3 √ 12 + 2 √ 75. 16 √ 3 Example

20. Simplify 5 √ 2 + 3 √ 8 – √ 32. 7 √ 27 √ 27 √ 27 √ 2 Example

21. Simplify 3 √ 2 (√ 18 + √ 50 ). 48 Example

22. Simplify. 5 √ 12 + 3 √ 27 √ 3√ 3√ 3√ 3 19 Example

23. Simplify 3 √ 2 (2 √ 3 + 4 √ 2 ). 6 √ 6 + 24 Exercise

24. Simplify √ 6 (3 √ 7 – 5 √ 3 ). 3 √ 42 – 15 √ 2 Exercise

25. Simplify √ 24 ( √ 30 + √ 6 ). 12 √ 5 + 12 Exercise

26. Simplify 4√ 12 (3√ 32 + 5√ 18 ). 216 √ 6 Exercise

27. Simplify. 7 √ 15 – 2 √ 15 √ 15 55 Exercise

28. Simplify. 10 √ 26 – 5 √ 39 5 √ 13 2 √ 2 – √ 3 Exercise