Home
Class 12
MATHS
Find the sum (1)/(1+sqrt(2))+(1)/(sqrt(2...

Find the sum `(1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+..........` upto 99 terms.

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

x=(1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+2)=

Simplify: (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(5))

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

Find the sum: 3+(1)/(sqrt(3))+(1)/(3+sqrt(3))-(1)/(3-sqrt(3))

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

The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+ up to 15 terms is

Find the value of (1)/(1+sqrt(3))+(1)/(sqrt(3)+sqrt(5))+...+(1)/(sqrt(23)+sqrt(25))

1/(1-sqrt(2))+ 1/(sqrt(2)-sqrt(3))+1/(sqrt(3)-sqrt(4))+..........+1/(sqrt(8)-sqrt(9))

(1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+...(1)/(sqrt(99)+sqrt(100))

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

RESONANCE-DPP-QUESTION
  1. Identify the correct statement

    Text Solution

    |

  2. If xx=sqrt(3)+sqrt(2), then find xx+1/x,x^(2)+(1)/(x^(2)),x^(3)+(1)/(x...

    Text Solution

    |

  3. Find the sum (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4...

    Text Solution

    |

  4. If a statement is true for all the values of the variable, such statem...

    Text Solution

    |

  5. If a statement is true for all the values of the variable, such statem...

    Text Solution

    |

  6. If a statement is true for all the values of the variable, such statem...

    Text Solution

    |

  7. If a statement is true for all the values of the variable, such statem...

    Text Solution

    |

  8. Which of the following collections are sets ? (i) Collection of all ...

    Text Solution

    |

  9. Write the following sets in the tabular from : (i) A={x:x is a posit...

    Text Solution

    |

  10. Write the following sets in the set builder from : {:((i), 0={0),(i...

    Text Solution

    |

  11. How many positive integey x ae there such that 3x has 3 digits and 4x ...

    Text Solution

    |

  12. If a and b are positive integers such that a^(2)-b^(4)=2009, find a+b

    Text Solution

    |

  13. Find the number of positive integers x for which f(X)=x^(3)-8x^(2)+20x...

    Text Solution

    |

  14. If a is defined by f (x)=a(0)x^(n)+a(1)x^(n-2)+a(2)x^(n-2)+...+a(n-1)x...

    Text Solution

    |

  15. If a is defined by f (x)=a(0)x^(n)+a(1)x^(n-2)+a(2)x^(n-2)+...+a(n-1)x...

    Text Solution

    |

  16. If a is defined by f (x)=a(0)x^(n)+a(1)x^(n-2)+a(2)x^(n-2)+...+a(n-1)x...

    Text Solution

    |

  17. If a is defined by f (x)=a(0)x^(n)+a(1)x^(n-2)+a(2)x^(n-2)+...+a(n-1)x...

    Text Solution

    |

  18. Which of the following conditions imply that the real number x is rati...

    Text Solution

    |

  19. Let N=(2+1)(2^(2)+1)(2^(4)+1)......(2^(32)+1)+1and n2^(lamda)"then the...

    Text Solution

    |

  20. If (x+y)^(2)=2(x^(2)+y^(2))and(x-y+lamda)^(2)=4,lamdagt0, then lamda i...

    Text Solution

    |