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Prove the following by contradiction : ...

Prove the following by contradiction :
"The sum of a rational and irrational number is an irrational number ."

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Prove the following by contradiciton ."The sum of a rational and an irrational number is an irrational number?".

Check the validity of the statements given below by contradiction method. "p: the sumof an irrational number and a rational numbers is irrational .

Knowledge Check

  • Every irrational number

    A
    cannot be represented on the number line
    B
    can be represented on the number line
    C
    can or cannot be represented on the number line
    D
    None of these

  • The number of irrational numbers in between any two irrational numbers is

    A
    0
    B
    1
    C
    not infinity
    D
    infinity

  • The product of two irrational numbers is

    A
    an irrational number
    B
    a rational number
    C
    an integer
    D
    a rational or irrational number

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    Prove that number (log)_2 7 is an irrational number.

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    Find the component statements of the following and check whether they are true or not. sqrt2 is a rational number or an irrational number.

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