Question Number 171866 by Mikenice last updated on 21/Jun/22
$$\sqrt{{a}}+\sqrt{{b}}=\sqrt{\mathrm{2009}}.\:{find}\:{a}\:{and}\:{b}. \\ $$
Commented by infinityaction last updated on 21/Jun/22
$$\left\{\left(\mathrm{0},\mathrm{2009}\right),\left(\mathrm{41},\mathrm{41}×\mathrm{63}\right)\left(\mathrm{41}×\mathrm{4},\mathrm{41}×\mathrm{25}\right)\right. \\ $$$$\left.\left(\mathrm{41}×\mathrm{9},\mathrm{41}×\mathrm{16}\right)…\right\} \\ $$