Let (a,b) = 1, ab = c^2; show a, b are perfect squares

[nikolany]

need some help with this question

Let (a,b)=1 and ab=c^2. Show that a and b are perfect squares.

Thank you

 

[Deleted member 4993]

Re: pls help

need some help with this question

Let (a,b)=1 and ab=c^2. Show that a and b are perfect squares.

Thank you

Please share with us your thoughts/work, indicating exactly where you are stuck, so that we know where to begin to help you.

 

[nikolany]

Re: pls help

I think I should use prime factorization for a , b and c but can't start.

 

[Deleted member 4993]

go to:

viewtopic.php?f=2&t=31233

and look at the reply posted by pka.

You'll need to follow similar logic.