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
Doubtnut Promotions Banner Mobile Dark
|

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

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

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

Knowledge Check

  • root(3)(8 (sqrt3 -1)^(3))=

    A
    `sqrt3-1`
    B
    `8 (sqrt3 -1)`
    C
    `3 (sqrt3 -1)`
    D
    `2 (sqrt3 -1)`
  • If x(2+sqrt3)=y(2-sqrt3)=1 , then the value of 1/(x+1)+1/(y+1) is :

    A
    1
    B
    `sqrt3`
    C
    `2sqrt3`
    D
    2
  • Similar Questions

    Explore conceptually related problems

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

    If a = (sqrt5 +1 )/( sqrt5 -1) and b = (sqrt5 -1)/(sqrt5 +1) the find the value of (5a^(2) -3ab + 5b^(2)) (b) If x = (sqrt3 + sqrt2)/(sqrt3 - sqrt2) and y = (sqrt3 -sqrt2)/(sqrt3 + sqrt2) then find the value of (3x^(2) -5xy + 3y^(2)) (c) If x = sqrt3 + sqrt2 and y = sqrt3 -sqrt2 then find the value of (x^(3) + y^(3)) and (x^(3) - y^(3))

    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))