Surds and Indices Questions, Quizzes & Notes

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Surds and Indices Questions with Solutions

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1. If x - 1/x = 1, find x⁶ + 1/x⁶. / यदि x - 1/x = 1 है, तो x⁶ + 1/x⁶ ज्ञात कीजिए।

2. If x + 1/x = 6, find x⁵ + 1/x⁵. / यदि x + 1/x = 6 है, तो x⁵ + 1/x⁵ ज्ञात कीजिए।

3. If 5ˣ = 3, find 25ˣ + 25⁻ˣ. / यदि 5ˣ = 3 है, तो 25ˣ + 25⁻ˣ ज्ञात कीजिए।

4. If 3ˣ = 2, find 9ˣ + 9⁻ˣ. / यदि 3ˣ = 2 है, तो 9ˣ + 9⁻ˣ ज्ञात कीजिए।

5. If 2ˣ = 3, find 2^(2x) + 2^(-2x). / यदि 2ˣ = 3 है, तो 2^(2x) + 2^(-2x) ज्ञात कीजिए।

6. If x = √3 + √2, find x⁶ + 1/x⁶. / यदि x = √3 + √2 है, तो x⁶ + 1/x⁶ ज्ञात कीजिए।

7. Simplify: 1/(√5 + 2)⁴ + 1/(√5 - 2)⁴ / सरल कीजिए।

8. If x = √5 + 2, find x⁴ + 1/x⁴. / यदि x = √5 + 2 है, तो x⁴ + 1/x⁴ ज्ञात कीजिए।

9. If x = √5 + 2, find x³ + 1/x³. / यदि x = √5 + 2 है, तो x³ + 1/x³ ज्ञात कीजिए।

10. If a = 2 + √3 and b = 2 - √3, find a⁵ + b⁵. / यदि a = 2 + √3 और b = 2 - √3 हैं, तो a⁵ + b⁵ ज्ञात कीजिए।

11. If a = √3 + √2 and b = √3 - √2, find a⁴ + b⁴. / यदि a = √3 + √2 तथा b = √3 - √2 हैं, तो a⁴ + b⁴ ज्ञात कीजिए।

12. Simplify: √(13 + 4√10) / सरल कीजिए।

13. Simplify: √(19 + 6√10) / सरल कीजिए।

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

15. If x + 1/x = √5, find x⁵ + 1/x⁵. / यदि x + 1/x = √5 है, तो x⁵ + 1/x⁵ ज्ञात कीजिए।

16. If x - 1/x = 3, find x⁴ + 1/x⁴. / यदि x - 1/x = 3 है, तो x⁴ + 1/x⁴ ज्ञात कीजिए।

17. If x + 1/x = 5, find x⁴ + 1/x⁴. / यदि x + 1/x = 5 है, तो x⁴ + 1/x⁴ ज्ञात कीजिए।

18. If x = √2 + √3, find x⁵ + 1/x⁵. / यदि x = √2 + √3 है, तो x⁵ + 1/x⁵ ज्ञात कीजिए।

19. Simplify: [16^(3/4) × 8^(2/3)]/32^(1/5) / सरल कीजिए।

20. Simplify: (81/16)^(-3/4) / सरल कीजिए।

Surds and Indices Quizzes

📝 Surds and Indices Practice Quiz – 30 Questions — Start quiz to see questions 📝 UPSC CSAT 2027 Tough Practice Quiz Set 020 – Advanced DI, Mathematics, Probability & Logical Reasoning — Start quiz to see questions 📝 UPSC CSAT 2027 Tough Practice Quiz Set 018 – Advanced Mathematics, DI, Probability & Analytical Reasoning — Start quiz to see questions 📝 SSC CGL Tough Mathematics Practice Set 19 – 25 Questions | 15 Minutes — Start quiz to see questions 📝 SSC CGL Tough Mathematics Practice Set 18 – 25 Questions | 15 Minutes — Start quiz to see questions 📝 SSC CGL Tough Mathematics Practice Set 17 – 25 Questions | 15 Minutes — Start quiz to see questions 📝 UPSC CSAT 2027 Tough Practice Quiz Set 015 – Advanced Mathematics and Analytical Reasoning — Start quiz to see questions 📝 SSC CGL Tough Mathematics Practice Set 16 – 25 Questions | 15 Minutes — Start quiz to see questions

Surds and Indices Questions, Quizzes & Notes

Surds and Indices Questions with Solutions

Surds and Indices Quizzes

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