Mathematics

Mathematics

Problem

Which of the following numbers, when multiplied by (11+7)(\sqrt{11}+\sqrt{7}), will give a rational result? a) 11+5\sqrt{11}+\sqrt{5} b) 11+7\sqrt{11}+\sqrt{7} c) 11−7\sqrt{11}-\sqrt{7} d) 7−5\sqrt{7}-\sqrt{5}

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