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If x = sqrt(3) + sqrt(2) , then the va...

If ` x = sqrt(3) + sqrt(2) ` , then the value of ` ( x^(3) + (1)/( x^(3)))` is

A

` 6 sqrt(3)`

B

` 12 sqrt( 3)`

C

` 18 sqrt(3)`

D

` 24 sqrt( 3)`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If x = 3 sqrt( 2 + sqrt(3)) , then the value of x^(3) + (1)/( x^(3)) is

    A
    8
    B
    9
    C
    2
    D
    4

  • If x = sqrt(3) - sqrt(2) , then the value of x^(3) - x^(-3) is :

    A
    `22sqrt(3)`
    B
    `-22sqrt(2)`
    C
    `22sqrt(2)`
    D
    `-22sqrt(3)`

  • If x = sqrt3 + sqrt2, then the value of x ^(3) - (1)/(x ^(3)) is :

    A
    ` 8sqrt2`
    B
    `10 sqrt2`
    C
    `14 sqrt2`
    D
    `22 sqrt2`

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