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If x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))...

If `x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))` and `y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))` , find `x^2+y^2`

Text Solution

Verified by Experts

The correct Answer is:
`98`
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Knowledge Check

  • If x=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) and y=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) find the value of x^(3)+y^(3)

    A
    `807`
    B
    `907`
    C
    `970`
    D
    `870`

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

    A
    1030
    B
    970
    C
    990
    D
    99

  • If x = ( sqrt( 3) + sqrt(2))/( sqrt(3) - sqrt(2)) and y = ( sqrt(3) - sqrt(2))/( sqrt(3) + sqrt(2)) then the value of ( x^(2) + 6 xy + y^(2))/( x^(2) - 6xy + y^(2)) is

    A
    `(13)/(11)`
    B
    `(17)/(15)`
    C
    `(26)/(23)`
    D
    `(27)/(25)`

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    If a=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and b=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) , then find the value of 3(a^(2)-b^(2)) .

    If x=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) and y=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) then the value of x^(2)+xy+y^(2)

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

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

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