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Is the product of two irrational numbers always an irrational

  • Math -

    not neccessarily

  • Math -

    When you have a statement like "...always...", it is sometimes (not always) easier to disprove with a counter example than to prove the truth of the statement.

    For example,
    √2 is irrational.
    √2 * √2 = 2 is rational.

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