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Surds and Indices Questions with Solutions

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21. If 3ˣ + 3^(x+1) = 108, find x. / यदि 3ˣ + 3^(x+1) = 108, तो x ज्ञात कीजिए।

22. Solve: 2^(2x) - 5(2ˣ) + 4 = 0. / हल कीजिए: 2^(2x) - 5(2ˣ) + 4 = 0।

23. If 27^(x+1) = 9^(2x-1), find x. / यदि 27^(x+1) = 9^(2x-1), तो x ज्ञात कीजिए।

24. If 4ˣ = 8^(x-1), find x. / यदि 4ˣ = 8^(x-1) है, तो x ज्ञात कीजिए।

25. Simplify: 1/(2 - √3)³ / सरल कीजिए।

26. Simplify: 1/(√2 - 1)² / सरल कीजिए।

27. Find: (√3 + √2)⁶ + (√3 - √2)⁶ / ज्ञात कीजिए।

28. Simplify: (√7 + √2)² - (√7 - √2)² / सरल कीजिए।

29. Simplify: (√5 + √3)² + (√5 - √3)² / सरल कीजिए।

30. If x - 1/x = √5, find x² + 1/x². / यदि x - 1/x = √5 है, तो x² + 1/x² ज्ञात कीजिए।

31. If x - 1/x = 2, find x² + 1/x². / यदि x - 1/x = 2 है, तो x² + 1/x² ज्ञात कीजिए।

32. If x + 1/x = 4, find x³ + 1/x³. / यदि x + 1/x = 4 है, तो x³ + 1/x³ ज्ञात कीजिए।

33. If x + 1/x = 3, find x² + 1/x². / यदि x + 1/x = 3 है, तो x² + 1/x² ज्ञात कीजिए।

34. If x = √3 + √2, find x⁴ + 1/x⁴. / यदि x = √3 + √2 है, तो x⁴ + 1/x⁴ ज्ञात कीजिए।

35. Simplify: (√7 + √5)/(√7 - √5) + (√7 - √5)/(√7 + √5) / सरल कीजिए।

36. If x = √5 + √3, find x² + 4/x². / यदि x = √5 + √3 है, तो x² + 4/x² ज्ञात कीजिए।

37. If x = 2 + √3, find x³ + 1/x³. / यदि x = 2 + √3 है, तो x³ + 1/x³ ज्ञात कीजिए।

38. If x = 2 + √3, find x² + 1/x². / यदि x = 2 + √3 है, तो x² + 1/x² ज्ञात कीजिए।

39. If a = √5 + 2, find a + 1/a. / यदि a = √5 + 2 है, तो a + 1/a ज्ञात कीजिए।

40. Simplify: √(12 + 8√2) / सरल कीजिए।

Surds and Indices Quizzes

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Surds and Indices Questions, Quizzes & Notes

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