SOLUTION: Is the set of irrational numbers closed under multiplication? I THINK the answer is yes but i have no example to prove it.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Is the set of irrational numbers closed under multiplication? I THINK the answer is yes but i have no example to prove it.      Log On


   

Question 375935: Is the set of irrational numbers closed under multiplication?
I THINK the answer is yes but i have no example to prove it.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
No, the set of irrational numbers is not closed under multiplication. Examples:
sqrt%283%29%2Asqrt%2827%29+=+sqrt%2881%29+=+9,
sqrt%285%29%2A%281%2Fsqrt%285%29%29+=+1,
root%283%2C7%29%2Aroot%283%2C49%29+=+7, etc...