A good problem

If m^2<a<b, & a*b=a perfect square, TPT: b>(m+1)^2
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 Recognitions: Homework Help Science Advisor a*b=a means a is zero or b=1?? This is surely not what you mean? What does TPT mean? "To Prove True"?
 Recognitions: Homework Help Science Advisor Huh, on furthur reflection I guess "& a*b=a perfect square" means "and a*b is a perfect square". Is this a homework problem? In case it is, just a simple hint for now- treat the cases where "a" is a perfect square and "a" is not a perfect square seperately.

A good problem

I've understood the trouble... and I've got my picture but I think that I can't explain in a simple way... in sense that I'm not able to make it easy...
 Sorry, a*b= k^2, k belongs to the naturals. Not that a*b=a. Really sorry! Thanks for the hint, Shmoe! I may be clser to the solution by an another method. I'll let you know if I get it. BTW, TPT is "to prove that".
 Hey does anybody know how to create mathematical symbols while posting?
 Recognitions: Homework Help Science Advisor THnigs like $$ab=k^2, k \in \mathbb{N}$$? Try looking up the LaTeX sticky post in the physics section. Or trying seraching the site using the search function for such "frequently asked questions"