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What can you say about the sum of a rational number and an irraitonal number ?

Text Solution

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The correct Answer is:
Irrational
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What can you say about the product of an non zero rational and irrational number?

Sum of two natural numbers is a rational number.

Knowledge Check

  • sum of two rational numbers is

    A
    rational
    B
    irrational
    C
    Both (a) and (b)
    D
    None of these
  • The sum of the rational numbers – 8/19 and -4/57 is :

    A
    `-5/57`
    B
    `7/22`
    C
    `-28/57`
    D
    `4/27`
  • Similar Questions

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    State, in each case, whether the given statements is ture or false. (i) The sum of two rational numbers is rational. (ii) The sum of two irrational numbers is irrational. (iii) The product of two rational numbers is rational. (iv) The product of two irrational numbers is irrational. (v) The sum of a rational number and irrational number is irrational. (vi) The product of a nonzero rational number and an irrational number is a rational number. (vii)Every real number is rational or irrational. (viii) Every number is either rational or irrational. (ix) pi is irrational and (22)/(7) is rational.

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    Which of the following is a correct statement? Sum of two irrational numbers is always irrational Sum of a rational and irrational number is always an irrational number Square of an irrational number is always an irrational number Square of an irrational number is always a rational number Sum of two rational numbers can never be an integer