Does a² + 2b² = c² have integer solutions?

[Werg22]

The relation;

a^2 + 2(b^2) = c^2

where a, b and c are positive integrer has no solution?

 

[mathman]

Try a=1, b=2, c=3. I think that will answer your question.

 

[Werg22]

Thank you!