Tìm các nghiệm nguyên \(\left( {x;\,\,y} \right)\) của phương trình \(\sqrt x + \sqrt y = \sqrt {2020} .\)
A.\(\left( {x;y} \right) = \left\{ {\left( {2020;\,\,1} \right);\,\,\left( {1010;\,\,1010} \right);\,\,\left( {1;\,\,2020} \right)} \right\}.\)
B.\(\left( {x;y} \right) = \left\{ {\left( {1010;\,\,0} \right);\,\,\left( {505;\,\,505} \right);\,\,\left( {0;\,\,1010} \right)} \right\}.\)
C.\(\left( {x;y} \right) = \left\{ {\left( {1010;\,\,1} \right);\,\,\left( {1010;\,\,1010} \right);\,\,\left( {1;\,\,1010} \right)} \right\}.\)
D.\(\left( {x;y} \right) = \left\{ {\left( {2020;\,\,0} \right);\,\,\left( {505;\,\,505} \right);\,\,\left( {0;\,\,2020} \right)} \right\}.\)
