Posted by **Sara** on Friday, October 9, 2009 at 6:53pm.

Is the product of two irrational numbers always an irrational

number?

- Math -
**Lisa**, Friday, October 9, 2009 at 7:01pm
not neccessarily

- Math -
**MathMate**, Friday, October 9, 2009 at 8:32pm
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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