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If x = sqrt(5 + sqrt21)and y = sqrt(5 - ...

If `x = sqrt(5 + sqrt21)and y = sqrt(5 - sqrt21)` then the value of (x - y) is

A

`2sqrt21`

B

`10`

C

`sqrt6`

D

`pm sqrt6`

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Knowledge Check

  • If x = sqrt5 + sqrt3 and y = sqrt5 - sqrt3, then the value of x ^(4) - y ^(4) is

    A
    544
    B
    `32 sqrt15`
    C
    `64 sqrt15`
    D
    384

  • If x = sqrt(5) + sqrt(3) and y = sqrt( 5) - sqrt(3) , then value of ( x^(4) - y^(4)) is

    A
    `64 sqrt( 15)`
    B
    16
    C
    544
    D
    ` 32 sqrt( 15 )`

  • If x=3sqrt(5)+2sqrt(2) and y=3sqrt(5)-2sqrt(2) , then the value of (x^(2)-y^(2))^(2) is

    A
    `240`
    B
    `140`
    C
    `5760`
    D
    `5300`