Can you prove or disprove (mn)!=m!n! for positive integers m and n?

[thecleric]

If m and n are positive integers, (mn)!=m!n! Prove or disprove.

its so obviously true i can't prove it. anyone help?

-also-

Prove: The square root of a prime integer is an irrational number.

any help?

 

[Dragonfall]

(3*2)! = 720 =/= 3!2! = 12

So it's actually FALSE.

 

[thecleric]

hah wow, that shows how long i haven't slept.

any idea on the 2nd question?

 

[Dragonfall]

Try proof by contradiction. Suppose sqrt(p)=a/b, then...

BTW if this is a homework question, you will get more responses if you post in the homework forum:

https://www.physicsforums.com/forumdisplay.php?f=156