Home
Class 14
MATHS
What is sqrt(1 + 1/1^(2) + 1/2^(2)) + s...

What is `sqrt(1 + 1/1^(2) + 1/2^(2)) + sqrt(1 + 1/2^(2) + 1/3^(2)) +.... + sqrt(1+ 1/2007^(2) + 1/2008^(2))` equal to?

A

`2008-(1)/(2008)`

B

`2007-(1)/(2007)`

C

`2007-(1)/(2008)`

D

`2008-(1)/(2009)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

Cos(765^(@)) is ( 1 ) 1/2 ( 2 ) sqrt (2) ( 3 ) 1/sqrt(2) ( 4 ) 2 : sqrt(2)

If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4^2))++sqrt(1+1/((1999)^2)+(2000)^2)=x-1/x

Evaluate : 1/( 1 + sqrt (2) ) + 1/( sqrt(2) + sqrt (3) ) + 1/ ( sqrt(3) + sqrt (4) )

lim_(nrarroo)((1)/(sqrt(n^(2)))+(1)/(sqrt(n^(2)-1^(2)))+(1)/(sqrt(n^(2)-2^(2)))+....+(1)/(sqrt(n^(2)-(n-1)^(2)))) is equal to

If A= (1)/(2) ((-1,-sqrt(3)),(sqrt(3),-1)) then A^(-1)- A^(2) is equal to a

sin^(-1)(2x sqrt(1-x^(2))),x in[(1)/(sqrt(2)),1] is equal to

GAGAN PRATAP -SURDS & INDICES-Surds & Indices (Sheet-2)
  1. What is sqrt(1 + 1/1^(2) + 1/2^(2)) + sqrt(1 + 1/2^(2) + 1/3^(2)) +.....

    Text Solution

    |

  2. sqrt(7sqrt(7sqrt(7...)))=(343)^(y-1) then y=

    Text Solution

    |

  3. root(3)(64root(3)(64root(3)(64))).........oo=?

    Text Solution

    |

  4. Solve root(5)(16root(5)(16(root(5)(16............oo)

    Text Solution

    |

  5. If x^(m)=root(14)(xsqrt(xsqrtx)) then what is the value of m ?

    Text Solution

    |

  6. sqrt(27-:sqrt(27-:sqrt(27-:sqrt(27..........oo))))=?

    Text Solution

    |

  7. If x^(sqrtx^(sqrt(x)^(sqrt(x)^(.^(.^(.oo))))))=(1)/(2) then x=?

    Text Solution

    |

  8. x^(sqrtx^(sqrt(x)^(sqrt(x)^(.^(.^(.oo))))))=(1)/(36) then x=?

    Text Solution

    |

  9. sqrt(12sqrt(12sqrt(12sqrt(12sqrt(12sqrt(12))))))=?

    Text Solution

    |

  10. If root(3)(11root(3)(11root(3)(11root(3)(11root(3)(11)))))=121^(k) the...

    Text Solution

    |

  11. root(m)(aroot(n)(broot(m)(aroot(n)(broot(m)(a)root(n)(b..........oo)))...

    Text Solution

    |

  12. Find the value of sqrt(30+sqrt(30+sqrt(30+……)))

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |