# Math Help - Simple Field Question.

1. ## Simple Field Question.

Show that if K is a field and x,yEK satify x≠0 and y≠0, then xy≠0? Where do I start?

2. Originally Posted by calculuskid1
Show that if K is a field and x,yEK satify x≠0 and y≠0, then xy≠0? Where do I start?
Suppose $\,xy = 0$. Then $x^{-1}xy = x^{-1}\cdot0 \implies y=0$. Contradiction.