(5 – 2√3 )
2
7. (4√3 + 7 √2 )
2
8. 5√48 ÷ 3√27
9. 3√98 ÷ 2 √32
10. ( 3√5 + 4)+(7 + 4√5)
11. ( 7 - 2√3 )+(11 + 4√3)
12. ( 5 - 11√2 )- (2 - 18√2)
13. (4√3+ 5 √2)- (√3 -4√2)
14. (7+ 15√11) - (2+ 3√11)
15. (4+ 2√5) (3- 5√5)
16. (7+ 3√2) (5+ √10)
17. (5+ 4√7) (3+ 2√7)
18. (11- 5√2) (14- 7√2)
19. (6- 2√3) (15+ 4√3)
20. (8+ 4√5) (7+ 6√5)
21. (5+ 3√7) (11- 2√7)
22. (7+ 8√5) (12+ 4√5)
23. (4- 3√2) (7+ 12√2)
24. (10+ 3√3) (14+ 2√3)
25. (4 + 7√2 )
2
26. (5 + 3√11 )
2
27. (6 − 2√5 )
2
28. (11 + 2√5 )
2
29. (8 + 3√13 )
2
30. (7 − 11√2 )
2
31. (12 + 3√6 )
2
32. (11 − 3√7 )
2
33. (4 − 11√11 )
2
34. (5 − 3√20 )
2
35. (4+ √7) (4 - √7)
36. (11+ √50) (11 - √50)
37. (12+ √31) (12 - √31)
38. (7+ 6√2) (7 - 6√2)
39. (5+ 2√11) (5 - 2√11)
40. 12√2 ÷ √8
41. 5√27 ÷ 3 √3
42. 3√18 ÷ 7√98
43. 12√80 ÷ √125
44. 6√180 ÷ 3√80
Q-2 Rationalize the denominator of the following:
1. 4
5−√3
2. 11
7+√5
3. 3
11−√7
4. 5
−7+√3
5. 1
√15−√5
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