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    Question

    Choose the correct one:

    A.

    Sum of two irrational numbers is an irrational.

    B.

    Sum of two irrational numbers is always a rational.

    C.

    Sum of two irrational numbers is not always an irrational.

    D.

    None of the above

    Correct option is C

    The correct answer is: (c) Sum of two irrational numbers is not always an irrational.

    Explanation: The sum of two irrational numbers is usually irrational, but this is not always true.

    Example 1: If you add-

     

    then the result is zero, which is rational.

    Example 2: Adding two different irrational numbers, such as-

    which would result in an irrational number.

    As a result, the sum of two irrational numbers is determined by the numbers themselves.

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