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Question Number 127332 by snipers237 last updated on 28/Dec/20 | ||
$${let}\:{a},{b},{c}\:{be}\:{integers}\:{such}\:{as} \\ $$ $$\mathrm{0}<{a}^{\mathrm{2}} +{b}^{\mathrm{2}} −{abc}\:<\:{c}\: \\ $$ $${prove}\:{that}\:\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} −{abc}}\:\:{is}\:{an}\:{integer} \\ $$ | ||