let-a-b-c-be-integers-such-as-0-lt-a-2-b-2-abc-lt-c-prove-that-a-2-b-2-abc-is-an-integer-

Question Number 127332 by snipers237 last updated on 28/Dec/20

l e t a, b, c b e i n t e g e r s s u c h a s

0 < a^{2} + b^{2} - a b c < c

p r o v e t h a t \sqrt{a^{2} + b^{2} - a b c} i s a n i n t e g e r