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Are there two distinct irrational numbers such that their difference is a rational number? Justify.

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Find two irrational numbers such that their sum is a rational number. Can you find two irrational numbers whose product is a rational number.

Find two irrational numbers such that their sum is a rational number. Can you find two irrational numbers whose product is a rational number.

Knowledge Check

  • Which of the following is not an irrational number ?

    A
    `sqrt2`
    B
    `sqrt5`
    C
    `sqrt3`
    D
    `sqrt25`
  • Which one of the following is an irrational number ?

    A
    `pi`
    B
    `sqrt9`
    C
    `1/4`
    D
    `1/5`
  • Irrational number has a..........

    A
    terminating decimal
    B
    no decimal part
    C
    non-terminating and recurring decimal
    D
    non-terminating and non-recurring decimal
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