Home
Class 14
MATHS
((2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+...

`((2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+1))` simplifies to `16-sqrt(3)` (b) `4-sqrt(3)` (c) `2-sqrt(3)` (d) `2+sqrt(3)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SIMPLIFICATION

    RS AGGARWAL|Exercise question|15 Videos

  • STOCKS AND SHARES

    RS AGGARWAL|Exercise All Questions|42 Videos

Similar Questions

Explore conceptually related problems

(2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+1)/(sqrt(3)-1)is

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

(3sqrt(2)-sqrt(3))(4sqrt(3)-sqrt(2))

The value of (2 + sqrt(3))/(2- sqrt(3)) + (2- sqrt(3))/(2 + sqrt(3)) + ( sqrt(3) + 1)/(sqrt(3) -1) is

(3sqrt(2))/(sqrt(6)-sqrt(3))+(2sqrt(3))/(sqrt(6)+2)-(4sqrt(3))/(sqrt(6)-sqrt(2))

(3sqrt(2)-2sqrt(3))/(3sqrt(2)+2sqrt(3))+(sqrt(12))/(sqrt(3)-sqrt(2))

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

RS AGGARWAL-SQUARE ROOTS AND CUBE ROOTS-All Questions
  1. If sqrt(2)=1. 414 , the square root of (sqrt(2)-1)/(sqrt(2)+1) is n...

    Text Solution

    |

  2. Given that sqrt(3)=1. 732, the value of (3+sqrt(6))/(5sqrt(3)-2sqrt(12...

    Text Solution

    |

  3. ((2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+...

    Text Solution

    |

  4. If x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) and y=(sqrt(5)-sqrt(3))/(sqrt...

    Text Solution

    |

  5. (sqrt(2)(2+sqrt(3)))/(sqrt(3)(sqrt(3)+1))xx(sqrt(2)(2-sqrt(3)))/(sqrt(...

    Text Solution

    |

  6. (12)/(3+sqrt(5)+2sqrt(2)) is equal to 1-sqrt(5)+sqrt(2)+sqrt(10) (b) 1...

    Text Solution

    |

  7. [1/(sqrt(2)+sqrt(3)-sqrt(5))+1/(sqrt(2)-sqrt(3)-sqrt(5))] in simpli...

    Text Solution

    |

  8. If x=(7-4sqrt(3)) , then the value of (x+1/x) is 3sqrt(3) (b) 8sqrt...

    Text Solution

    |

  9. If x=3+sqrt(8) , then x^2+1/(x^2) is equal to (a) 30 (b) 34 (c) 36 (d)...

    Text Solution

    |

  10. If a=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)), b=(sqrt(3)-sqrt(2))/(sqrt(3)...

    Text Solution

    |

  11. If a=(sqrt(5)+1)/(sqrt(5)-1) and b=(sqrt(5)-1)/(sqrt(5)+1) , the value...

    Text Solution

    |

  12. If x=sqrt(1+sqrt(1+sqrt(1+sqrt(1+ .oo)))) , then the value of x is ...

    Text Solution

    |

  13. sqrt(2+sqrt(2+sqrt(2+\ dot))) is equal to (a) 1 (b) 1.5 (c) 2 (d) 2.5

    Text Solution

    |

  14. If a=sqrt(3+sqrt(3+sqrt(3+\ ddot))) , then which of the following i...

    Text Solution

    |

  15. (sqrt(3+x)+sqrt(3-x))/(sqrt(3+x)-sqrt(3-x))=2 . Then x is equal to 5/7...

    Text Solution

    |

  16. One fourth of a herd of camels was seen in the forest. Twice the squar...

    Text Solution

    |

  17. A gardener plants 17956 trees in such a way that there are as many ...

    Text Solution

    |

  18. The number of trees in each row of a garden is equal to the total n...

    Text Solution

    |

  19. 1250 oranges were distributed among a group of girls of a class. Ea...

    Text Solution

    |

  20. A General wishes to draw up his 36581 soldiers in the form of a sol...

    Text Solution

    |