SOLUTION: Instructions: Determine if each conditional is true. If false, give a counterexample. Problem: If you multiply two irrational numbers, the product is irrational. Will you al

Algebra ->  Geometry-proofs -> SOLUTION: Instructions: Determine if each conditional is true. If false, give a counterexample. Problem: If you multiply two irrational numbers, the product is irrational. Will you al      Log On


   

Question 502650: Instructions: Determine if each conditional is true. If false, give a counterexample.
Problem: If you multiply two irrational numbers, the product is irrational.

Will you also please explain to me what an irrational number is?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
An irrational number is a number that cannot be represented as a ratio of two integers.

The conditional statement is false. For example, sqrt(2) and 1/sqrt(2) are irrational, but their product is 1 (a rational number).