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Find the truth set of the open statement...

Find the truth set of the open statement `p(x) =x ^(2) - x (3 + sqrt2)+ 3 sqrt2 = 0 AA x in Q.`

Text Solution

Verified by Experts

The correct Answer is:
`(sqrt2` is not a rational number)
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Knowledge Check

  • If p,q and r rational numbers, then the roots of the equation (2-sqrt(3)) x^(2) - ( 7- 4 sqrt(3) )x + ( 2+ sqrt(3)) =0 ?

    A
    ` 2-sqrt(3)`
    B
    `2+sqrt(3)`
    C
    ` 7-4sqrt(3)`
    D
    4

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

    A
    14
    B
    `14 sqrt2`
    C
    7
    D
    `7sqrt2`

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