Home
Class 14
MATHS
If a = 2 + 2^(1/3)+2^(2/3) then value of...

If `a = 2 + 2^(1/3)+2^(2/3)` then value of `a^3-6a^2+6a` is

A

2

B

`-2`

C

4

D

`-4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDICES AND SURDS

    LUCENT PUBLICATION|Exercise Exercise - 2B|14 Videos

  • INDICES AND SURDS

    LUCENT PUBLICATION|Exercise Exercise - 2B|14 Videos

  • HEIGHT AND DISTANCE

    LUCENT PUBLICATION|Exercise EXERCISE-12B|14 Videos

  • LINES AND ANGLES

    LUCENT PUBLICATION|Exercise EXERCISE 4B|5 Videos

Similar Questions

Explore conceptually related problems

If x=2+2^(2/3)+2^(1/3), then the value of x^(3)-6x^(2)+6x is (a)3 b.2 c.1 d.-2

If x = 2^(1//3) + 2^(-1//3) then the value of 2x^3 - 6x will be :

If x=2+2^((1)/(3))+2^((2)/(3)) then value of x^(3)-6x^(2)+6x2 is

Q.18 If x=2+2^((1)/(3))+2^((2)/(3)), then the value of x^(3)-6x^(2)+6x is

If x=2+2^((2)/(3))+2^((1)/(3)), then the value of x^(3)-6x^(2)+6x is:

LUCENT PUBLICATION-INDICES AND SURDS -Exercise - 2A
  1. The value of x^d/(x^d + x^(d+b -a)+x^(d+c-a))+(x^d)/(x^d + x^(d+a-b)+x...

    Text Solution

    |

  2. If x=root3(a)-1/(root3(a)) then value of x^3 +3x is

    Text Solution

    |

  3. If a = 2 + 2^(1/3)+2^(2/3) then value of a^3-6a^2+6a is

    Text Solution

    |

  4. If a^(x)=b^(y)=c^(z) and abc = 1, then what is the value of xy + yz + ...

    Text Solution

    |

  5. Value of y = sqrt((a^(y/x))/(a(x/y))) xx sqrt((a(x/z))/(a(y/x))) xx ...

    Text Solution

    |

  6. If a^(m^n) = (a^(m))^(n) then which of the following relation is true ...

    Text Solution

    |

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

    Text Solution

    |

  8. Value of sqrt(4 + sqrt(15)) is

    Text Solution

    |

  9. If n = 7 + 4sqrt(3) then value of (sqrt(n) + 1/(sqrtn)) is

    Text Solution

    |

  10. Square root of 3/2 (x - 1) + sqrt(2x^2 - 7 x - 4) is

    Text Solution

    |

  11. Square root of 2a - sqrt(3a^2 - 2ab - b^2) , (a gt b gt 0) is

    Text Solution

    |

  12. Value of sqrt(28 - 6sqrt(3)) + sqrt(28 + 6sqrt(3)) is

    Text Solution

    |

  13. Value of sqrt(1 + x^2 + sqrt(1 + x^2 + x^4)) is

    Text Solution

    |

  14. Square root of x + y + z + 2sqrt(xy + yz is

    Text Solution

    |

  15. If sqrt(3x - 7) + sqrt(3x + 7) = 4 + sqrt(2) then value of x + 1/x is

    Text Solution

    |

  16. Square root of 6 + sqrt(12) - sqrt(24) - sqrt(8) is

    Text Solution

    |

  17. If a = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2)) and b = (sqrt(3) + sqrt...

    Text Solution

    |

  18. Simplest form of ((sqrt(26 - 15sqrt(3)))/(5sqrt2-sqrt(38+5sqrt3)))^2 ...

    Text Solution

    |

  19. (12)/( 3+ sqrt(5 ) + 2sqrt(2)) is equal to

    Text Solution

    |

  20. Number of solution of the equation sqrt(x^(2)-x + 1) + (1)/(sqrt(x^(2)...

    Text Solution

    |