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EXPONENTS AND RADICALS REVISION QUESTIONS

Practice and check the answers below

1. \( \frac{3}{\sqrt{2}} \) 2. \( \frac{5}{\sqrt{3} + 1} \) 3. \( \frac{7}{\sqrt{5} - \sqrt{2}} \)
4. \( \frac{a}{\sqrt{a}} \) 5. \( \frac{4}{\sqrt{x^2 + 1}} \) 6. \( \frac{2x}{\sqrt{x} + \sqrt{y}} \)
7. \( \frac{3}{\sqrt{2} + \sqrt{3}} \) 8. \( \frac{5a}{\sqrt{a} - 2} \) 9. \( \frac{4}{2 + \sqrt{5}} \)
10. \( \frac{6}{\sqrt{a} + \sqrt{b}} \) 11. \( \frac{2\sqrt{3}}{\sqrt{6}} \) 12. \( \frac{7}{\sqrt{4a^2}} \)
13. \( \frac{5}{x + \sqrt{x}} \) 14. \( \frac{8x}{\sqrt{x^2 - 4}} \) 15. \( \frac{3}{\sqrt{3} - \sqrt{2}} \)
16. \( \frac{x}{\sqrt{x} - \sqrt{y}} \) 17. \( \frac{6}{1 - \sqrt{5}} \) 18. \( \frac{a + b}{\sqrt{a} - \sqrt{b}} \)
19. \( \frac{2}{\sqrt{7} + \sqrt{2}} \) 20. \( \frac{9}{3 + \sqrt{5}} \) 21. \( \frac{x + 2}{\sqrt{x}} \)
22. \( \frac{a}{\sqrt{a^2 + 2a}} \) 23. \( \frac{1}{\sqrt{a} + \sqrt{b} + \sqrt{c}} \) 24. \( \frac{2\sqrt{x}}{\sqrt{x} + 1} \)
25. \( \frac{5}{\sqrt{x} - \sqrt{x - 1}} \)

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