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AIME 1986 Problem 2

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Evaluate the product (5+6+7)(5+6−7)(5−6+7)(−5+6+7).\left(\sqrt{5}+\sqrt{6}+\sqrt{7}\right)\left(\sqrt{5}+\sqrt{6}-\sqrt{7}\right)\left(\sqrt{5}-\sqrt{6}+\sqrt{7}\right)\left(-\sqrt{5}+\sqrt{6}+\sqrt{7}\right).

Dataset text AIME 1983 to 2026. Quoted with source.

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