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What is the value of 2 + sqrt(2+sqrt(2+s...

What is the value of `2 + sqrt(2+sqrt(2+sqrt(2........)))`?

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
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GAGAN PRATAP -SURDS & INDICES-Surds & Indices (Sheet-2)
  1. Find the value of sqrt(30+sqrt(30+sqrt(30+……)))

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  2. Let x=sqrt(272+sqrt(272+sqrt(272+sqrt(272........."to infinity"))))

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  3. What is the value of 2 + sqrt(2+sqrt(2+sqrt(2........)))?

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  4. Let x=sqrt(42-sqrt(42-sqrt(42-sqrt(42-......."to infinity")))) then x ...

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  5. (sqrt(210+sqrt(219+sqrt(210+.......))))/(sqrt(156-sqrt(156-sqrt(156-.....

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  6. If (sqrt(8sqrt(8sqrt(8sqrt(8))))**sqrt(56+sqrt(56+sqrt(56+.......))))/...

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  7. sqrt(31+sqrt(31+sqrt(31+sqrt(31+.......oo))))=?

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  8. sqrt(14+sqrt(14+sqrt(14+sqrt(14+.......oo))))=?

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  9. Find sqrt(19-sqrt(19-sqrt(19-sqrt(19-.......oo))))=?

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  10. If A=sqrt(10-sqrt(10-sqrt(10-sqrt(10-.......oo)))) then which of the f...

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  11. If a=sqrt(13+sqrt(13+sqrt(13+sqrt(13+.......oo)))) and b=sqrt(13-sqrt(...

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  12. The value of p+sqrt(p^(2)+sqrt(p^(4)sqrt(p^(3)+sqrt(p^(8)+sqrt(p^(16)+...

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  13. Find sqrt(35+2sqrt(35+2sqrt(35+2sqrt(35+.......oo))))=?

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  14. Find sqrt(154+3sqrt(154+3sqrt(154+3sqrt(154+......oo))))

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  15. Find sqrt(154-3sqrt(154-3sqrt(154-3sqrt(154-.......oo))))

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  16. Find sqrt(3+4sqrt(3+4sqrt(3+4sqrt(3+.........oo))))=?

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  17. Find sqrt(5-2sqrt(5-sqrt(5-2sqrt(5-.......oo))))

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  18. If P=sqrt(11+3sqrt(11+3sqrt(11+3sqrt(11+3sqrt(11+........oo))))) and Q...

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  19. sqrt(4+sqrt(4-sqrt(4+sqrt(4-......oo))))=?

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  20. Let x=sqrt(6-sqrt(6+sqrt(6-sqrt(6+......."to infinity")))), then x equ...

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