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If both `a and b` are rational numbers, find the values of `a and b` in each of the following equalities:Given, `(sqrt(3)-1)/(sqrt(3)+1)xx(sqrt(3)-1)/(sqrt(3)-1)=a+bsqrt3`

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Given,`(sqrt(3)-1)/(sqrt(3)+1)xx(sqrt(3)-1)/(sqrt(3)-1)`
`=> (sqrt(3)-1)^2/2`
`=>2-sqrt(3)`
`=>2-sqrt(3)=a+b sqrt(3)`
`=>a=2 ,b=-1`
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Knowledge Check

  • If both a and b are rational numbers find the values of a and b in the following equation . (sqrt(3)-1)/(sqrt(3)+1)=a+bsqrt(3)

    A
    a=-1,b=2
    B
    a=1 , b=2
    C
    a=2, b=-1
    D
    a=-2,b=1

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