Home
Class 14
MATHS
The expression 1-1/(1+sqrt(3))+1/(1-s...

The expression `1-1/(1+sqrt(3))+1/(1-sqrt(3))` equals `1-sqrt(3)` (b) 1 (c) `-sqrt(3)` (d) `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

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

sqrt(6-4sqrt(3)+sqrt(16-8sqrt(3))) is equal to 1-sqrt(3) b.sqrt(3)-1 c.2(2-sqrt(3)) d.2(2+sqrt(3))

The value of sin(1/4sin^(-1)(sqrt(63))/8) is 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))

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

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

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

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

The rationalisation factor of sqrt(3) is -sqrt(3) (b) (1)/(sqrt(3))(c)2sqrt(3)(d)-2sqrt(3)

(2+sqrt2)/(1+sqrt3)times(1-sqrt3)/(1-sqrt3)=?

RS AGGARWAL-SQUARE ROOTS AND CUBE ROOTS-All Questions
  1. 1/(3-sqrt8)-1/(sqrt8-sqrt7)+1/(sqrt7-sqrt6)-1/(sqrt6-sqrt5)+1/(sqrt5-2...

    Text Solution

    |

  2. Determine the value of 1/(sqrt(1)+sqrt(2))+1/(sqrt(2)+sqrt(3))+1/(s...

    Text Solution

    |

  3. The expression 1-1/(1+sqrt(3))+1/(1-sqrt(3)) equals 1-sqrt(3) (b) 1...

    Text Solution

    |

  4. (2+sqrt(2)+1/(2+sqrt(2))+1/(sqrt(2)-2)) simplifies to 2-sqrt(2) (b)...

    Text Solution

    |

  5. What is the value of 1/(sqrt(5)+sqrt(3))+2/(3+sqrt(5))-3/(3+sqrt(3)...

    Text Solution

    |

  6. If sqrt(2)=1. 4142 , the value of 7/((3+sqrt(2))) is (a) 1.5858 ...

    Text Solution

    |

  7. (3sqrt2)/(sqrt6-sqrt3)-(4sqrt3)/(sqrt6-sqrt2)-(6)/(sqrt8-sqrt12)=? a. ...

    Text Solution

    |

  8. (sqrt(7)+sqrt(5))/(sqrt(7)-sqrt(5)) is equal to (a) 1 (b) 2 (c) 6-sqrt...

    Text Solution

    |

  9. If (5+2sqrt(3))/(7+4sqrt(3))=a+bsqrt(3) , then a=-11 ,\ \ b=-6 (b) a=-...

    Text Solution

    |

  10. If sqrt(2)=1. 414 , the square root of (sqrt(2)-1)/(sqrt(2)+1) is n...

    Text Solution

    |

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

    Text Solution

    |

  12. ((2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. (12)/(3+sqrt(5)+2sqrt(2)) is equal to 1-sqrt(5)+sqrt(2)+sqrt(10) (b) 1...

    Text Solution

    |

  16. [1/(sqrt(2)+sqrt(3)-sqrt(5))+1/(sqrt(2)-sqrt(3)-sqrt(5))] in simpli...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |