Home
Class 14
MATHS
The simplified value of (3 sqrt(2))/(sqr...

The simplified value of `(3 sqrt(2))/(sqrt(3) + sqrt(6)) - (4 sqrt(3))/(sqrt(6) + sqrt(2)) + (sqrt(6))/(sqrt(3) + sqrt(2))` is

A

`4`

B

`0`

C

`sqrt(2)`

D

`3sqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • POWER, INDICES AND SURDS

    KIRAN PUBLICATION|Exercise Type -V|53 Videos

  • POWER, INDICES AND SURDS

    KIRAN PUBLICATION|Exercise Type -VI|17 Videos

  • POWER, INDICES AND SURDS

    KIRAN PUBLICATION|Exercise Type -III|52 Videos

  • PIPE AND CISTERN

    KIRAN PUBLICATION|Exercise TIPE-IV|9 Videos

  • PROFIT AND LOSS

    KIRAN PUBLICATION|Exercise TEST YOURSELF|23 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

[(3sqrt2)/(sqrt3 + sqrt6) - (4sqrt3)/(sqrt6 + sqrt2) + (sqrt6)/(sqrt2 + sqrt3)] is simplified to

Simplify: (7sqrt(3))/(sqrt(10)+sqrt(3))-(2sqrt(5))/(sqrt(6)+sqrt(5))-(3sqrt(2))/(sqrt(15)+3sqrt(2))

KIRAN PUBLICATION-POWER, INDICES AND SURDS-Type -IV
  1. The value of (2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+...

    Text Solution

    |

  2. The square root of 14+6sqrt(5) is

    Text Solution

    |

  3. The simplified value of (3 sqrt(2))/(sqrt(3) + sqrt(6)) - (4 sqrt(3))/...

    Text Solution

    |

  4. Simplify ((3/(2+sqrt3)-2/(2-sqrt3)))/(2-5sqrt3)

    Text Solution

    |

  5. (64)^(-(2)/(3))xx((1)/(4))^(-2) is equal to :

    Text Solution

    |

  6. ((1+sqrt(2))/(sqrt(5)+sqrt(3))+(1-sqrt(2))/(sqrt(5)-sqrt(3))) simplifi...

    Text Solution

    |

  7. ((2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+...

    Text Solution

    |

  8. ((sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)))^(2)+((sqrt(5)-sqrt(3))/(sqrt(5)+...

    Text Solution

    |

  9. The value of sqrt(((sqrt12-sqrt8)(sqrt3+sqrt2))/(5+sqrt(24))) is-

    Text Solution

    |

  10. Simplify : [64^((2)/(3))xx2^(-2)xx8^(0)]^((1)/(2))

    Text Solution

    |

  11. Find the value of 1/(sqrt((12-sqrt(140))))-1/(sqrt((8-sqrt(60))))-2/(s...

    Text Solution

    |

  12. The value of sqrt(11+2sqrt(30))-1/(sqrt(11+2sqrt(30))) is

    Text Solution

    |

  13. The value of (243)^(0.16)xx(243)^(0.04) is equal to :

    Text Solution

    |

  14. (3^(0)+3^(-1))/(3^(-1)-3^(0)) is simplified to

    Text Solution

    |

  15. Simplify 1/(sqrt(100)-sqrt(99))-1/(sqrt(99)-sqrt(98))+1/(sqrt(98)-sq...

    Text Solution

    |

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

    Text Solution

    |

  17. [root(3)(2)xxsqrt(2)xxroot(3)(3)xxsqrt(3)] is equal to

    Text Solution

    |

  18. The value of (256)^(0.16)xx(256)^(0.09) is :

    Text Solution

    |

  19. [8-((4^((9)/(4))sqrt(2.2^(2)))/(2sqrt(2^(-2))))^((1)/(2))] is equal to

    Text Solution

    |

  20. (3sqrt(2))/(sqrt(6)+sqrt(3))-(2sqrt(6))/(sqrt(3)+1)+(2sqrt(3))/(sqrt(6...

    Text Solution

    |