Home
Class 11
MATHS
Evaluate the following: (sqrt(x+1)+sqrt(...

Evaluate the following: `(sqrt(x+1)+sqrt(x-1))^6+(sqrt(x+1)-sqrt(x-1))^6`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|248 Videos

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA ENGLISH|Exercise All Questions|77 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: \ (x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6

Differentiate the following function (sqrt(x^2+1)+sqrt(x^2-1))/(sqrt(x^2+1)-sqrt(x^2-1)

Evaluate the following limit: (lim)_(x->1)(sqrt(5x-4)-sqrt(x))/(x-1)

Evaluate the following limit: (lim)_(x->1)(sqrt(5x-4)-sqrt(x))/(x^2-1)

Evaluate the following limit: (lim)_(x->1)(sqrt(5x-4)-sqrt(x))/(x^3-1)

Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

Evaluate the following integration int(dx)/(sqrt(x+1)-sqrt(x))

Evaluate the following limit: (lim)_(x->1)(sqrt(3+x)-sqrt(5-x))/(x^2-1)

RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Using binomial theorem, write down the expansions of the following: \ ...

    Text Solution

    |

  2. Using binomial theorem, write down the expansions of the following:\ (...

    Text Solution

    |

  3. Evaluate the following: (sqrt(x+1)+sqrt(x-1))^6+(sqrt(x+1)-sqrt(x-1))^...

    Text Solution

    |

  4. Evaluate the following: \ (3+sqrt(2))^5-(3-sqrt(2))^5

    Text Solution

    |

  5. Evaluate the following: \ (1+2sqrt(x))^5+(1-2sqrt(x))^5

    Text Solution

    |

  6. Evaluate the following: \ (sqrt(3)+1)^5-(sqrt(3)-1)^5

    Text Solution

    |

  7. Evaluate the following: \ (sqrt(3)+sqrt(2))^6-(sqrt(3)-sqrt(2))^6

    Text Solution

    |

  8. Evaluate the following: \ {a^2+sqrt(a^2-1)}^4+{a^2-sqrt(a^2-1)}^4

    Text Solution

    |

  9. Evaluate the following: \ (x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6

    Text Solution

    |

  10. Evaluate the following: \ (sqrt(2)+1)^6+(sqrt(2)-1)^6

    Text Solution

    |

  11. Evaluate the following: (2+sqrt(3))^7+(2-sqrt(3))^7

    Text Solution

    |

  12. Evaluate the following: \ (0. 99)^5+(1. 01)^5

    Text Solution

    |

  13. Find (a+b)^4-(a-b)^4dot Hence evaluate (sqrt(3)+sqrt(2))^4-(sqrt(3)-sq...

    Text Solution

    |

  14. Find (x+1)^6+(x-1)^6. Hence evaluate (sqrt(2)+1)^6+(sqrt(2)-1)^6.

    Text Solution

    |

  15. Using binomial theorem evaluate each of the following: (96)^3

    Text Solution

    |

  16. Using binomial theorem evaluate each of the following: (102)^5

    Text Solution

    |

  17. Using binomial theorem evaluate each of the following: (101)^4

    Text Solution

    |

  18. Using binomial theorem evaluate each of the following: (98)^5

    Text Solution

    |

  19. Using binomial theorem indicate which is larger (1. 1)^(10000)or\ 1000...

    Text Solution

    |

  20. Write the general term in the expansion of (x^2-y)^6dot

    Text Solution

    |