Home
Class 10
MATHS
If x = root(3)(sqrt9 + 1) - root(3)(sqrt...

If `x = root(3)(sqrt9 + 1) - root(3)(sqrt9-1)`, the value of `x^(3) + 6x =`

A

0

B

1

C

2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.1|20 Videos

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.5|40 Videos

  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 2.2 (Long Answer Type Questions)|19 Videos

Similar Questions

Explore conceptually related problems

root(3)(8 (sqrt3 -1)^(3))=

If x= sqrt3+sqrt2 ,find the value of x^3-1/x^3 .

int (x dx)/(sqrt(x+1)+root(3)(x+1))

If x + 1/x = sqrt3 then the value of x^6 is

If sqrt2x = sqrt((sqrt3 + 1)/(sqrt3 -1)) , then x^(2) -x = ______

If x=3^(1/3)+3^(-1/3) , find the value of (3x^3-9x) .

If x = 2+sqrt3 , the value of x+1/x is sqrt2 .

If x = sqrt7 + sqrt6 , then find the simpliest value of (a) x - (1)/(x) , (b) x + (1)/(x) , (c) x^(2) + (1)/(x^(2)) , (d) x^(3) + (1)/(x^(3))

If x(2+sqrt3)=y(2-sqrt3)=1 , then the value of 1/(x+1)+1/(y+1) is :

CALCUTTA BOOK HOUSE-QUADRATIC SURDS-Exercise -3.2
  1. If x = root(3)(sqrt9 + 1) - root(3)(sqrt9-1), the value of x^(3) + 6x ...

    Text Solution

    |

  2. If x = 5 + 2 sqrt6 and xy =1, " then " (1)/(x^(2)) + (1)/(y^(2)) =

    Text Solution

    |

  3. The simpliest value of (sqrt5 (sqrt(3 - sqrt5)))/(sqrt2 + sqrt(7 - 3 s...

    Text Solution

    |

  4. (sqrt10 + sqrt18)/(sqrt18 - sqrt(3 - sqrt5)) =

    Text Solution

    |

  5. If sqrt2x = sqrt((sqrt3 + 1)/(sqrt3 -1)), then x^(2) -x=

    Text Solution

    |

  6. Rationalising factor of (root(3)(3) + root(3)(2)) is

    Text Solution

    |

  7. If (4 + sqrt15)^((3)/(2)) + (4 - sqrt15)^((3)/(2)) =k. sqrt10, then k ...

    Text Solution

    |

  8. If (sqrt(5 + 2sqrt6)- sqrt(5 - 2 sqrt6))/(sqrt(5 + 2 sqrt6)+ sqrt(5 - ...

    Text Solution

    |

  9. The value of sqrt(2+sqrt(2+ sqrt(2….oo))) is

    Text Solution

    |

  10. If x + 7 + 4 sqrt3, then sqrtx + (1)/(sqrtx) = 4

    Text Solution

    |

  11. root(5)((32)/(243)) is a surd

    Text Solution

    |

  12. show that (7)/(2^((1)/(2)) + 2^((1)/(4)) + 1) = 1 - 3.2^((1)/(4)) + 2....

    Text Solution

    |

  13. Write which one is a rational number and which one is a surd : root(6)...

    Text Solution

    |

  14. Express as like surds: root(6)(5), root(5)(6)

    Text Solution

    |

  15. Express as complete surds: 3 sqrt2, 2 root(3)(4)

    Text Solution

    |

  16. (a) If x gt a, y gt b and x + y = a + b, then find which one of (sqrtx...

    Text Solution

    |

  17. If x and y are rational and if x (3 + 2 sqrt2) - y sqrt2 = y(5 -3 sqrt...

    Text Solution

    |

  18. Rationalise the denominator: (a) (1)/(root(3)(3) + root(3)(2)), (b) ...

    Text Solution

    |

  19. Evaluate: (a) sqrt((x^(3))sqrt( y sqrt(x^(3)sqrt(y....oo)))) ,

    Text Solution

    |

  20. If 2x = a + sqrt((4b^(3) - a^(3))/(3a)) and 2y = a - sqrt((4b^(3) - a^...

    Text Solution

    |