Home
Class 14
MATHS
sqrt(4+sqrt(4-sqrt(4+sqrt(4-......oo))))...

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

A

3

B

`sqrt13`

C

`(sqrt13-1)/(2)`

D

`(sqrt13+1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SURDS & INDICES

    GAGAN PRATAP |Exercise Surds & Indices (Sheet-2)|64 Videos

  • SIMPLE INTEREST (SI)

    GAGAN PRATAP |Exercise MULTIPLE CHOICE QUESTION|92 Videos

  • TIME & WORK

    GAGAN PRATAP |Exercise TIME & WORK (SHEET-3)|23 Videos

Similar Questions

Explore conceptually related problems

If x=sqrt(2+sqrt(4+sqrt(4+sqrt(4+...oo)))) then the value of x^(2) is

sqrt(3)sqrt(4)sqrt(12)=

(d)/(dx)(1)/(sqrt(4sqrt(4sqrt(4sqrt(4+theta)))))

log_((4)/(3))(56+(sqrt(56+sqrt(56+sqrt(56+......oo))))/(sqrt(64sqrt(64sqrt(64.....oo)))))

If y^(4)=k+2 and sqrt(sqrt(sqrt(y)))=4sqrt(4sqrt(4sqrt(3y^(4)+4)));k in real then the value of |k-2| is

sqrt(7+4sqrt3) - sqrt(7-4sqrt3) =

GAGAN PRATAP -SURDS & INDICES-Surds & Indices (Sheet-2)
  1. Find sqrt(5-2sqrt(5-sqrt(5-2sqrt(5-.......oo))))

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If p=sqrt(12+13sqrt(12+13sqrt(12..........oo))) and q=sqrt(12-13sqrt(1...

    Text Solution

    |

  6. If x=sqrt(x+2sqrt(x+2sqrt(x+2sqrt(x+2sqrt(x.........oo))))) then find ...

    Text Solution

    |

  7. x=sqrt(3+2sqrt(3-2sqrt(13+2sqrt(3.......)))), then x equals

    Text Solution

    |

  8. Let x=sqrt(10+3sqrt(10-3sqrt(10+3sqrt(10-.......)))), then x equals

    Text Solution

    |

  9. sqrt(7+2sqrt(7-2sqrt(7+2sqrt(7-2sqrt(7+......)))))=?

    Text Solution

    |

  10. Find root(3)(210+root(3)(210root(3)(210+.........)))?

    Text Solution

    |

  11. Let x=sqrt(7-2sqrt(7+2sqrt(7-2sqrt(7+.......)))), then x equals

    Text Solution

    |

  12. Which among 2^(1//2),3^(1//3),4^(1//4),6^(1//6) and 12^(1//12) is the ...

    Text Solution

    |

  13. The greatest number among 2^(72),5^(36),11^(24) and 3^(60) is

    Text Solution

    |

  14. The smallest among the numbers 7^(200),9^(150),6^(250) and 5^(300) is

    Text Solution

    |

  15. The smallest of sqrt(8)+sqrt(5),sqrt(7)+sqrt(6),sqrt(10)+sqrt(3) and s...

    Text Solution

    |

  16. Which is the greatest among (sqrt19+sqrt31),(sqrt23+3sqrt3),(sqrt17+sq...

    Text Solution

    |

  17. The smallest of (sqrt69+2sqrt7),(sqrt61+6),(5sqrt3+22) and (sqrt58+sqr...

    Text Solution

    |

  18. Which is the greatest among (sqrt24+sqrt10),(sqrt30+sqrt8),(sqrt15+4),...

    Text Solution

    |

  19. Which of the following statements (s) is/are TRUE ? I. sqrt(11)+sqrt...

    Text Solution

    |

  20. Which of the following relation is CORRECT? I. (sqrt(15) + sqrt(7)) ...

    Text Solution

    |