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.

Answer This Question

Related Questions

Math - Are there more rational or irrational numbers? I am thinking irrational, ...

math - Which statements are true for irrational numbers written in decimal form...

Math - Here is the question: Is the product of two irrational numbers always an ...

Math - What are irrational, rational, and natural numbers? A rational number is ...

math - Keyshia said that one of the following numbers is IRRATIONAL. Which ...

math - Keyshia said that one of the following numbers is IRRATIONAL. Which ...

irrational numbers?! - what are rational and irrational numbers?? i know that ...

math - What is the best sequence of names to identify this set of numbers? (1 3/...

math- please help - What is the best sequence of names to identify this set of ...

Math - In the question: a rational number plus an irrational number will be ____...