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Chisinau MO p86 1975 R1 VIII sign of \sqrt{4+\sqrt7}-\sqrt{4-\sqrt7}-\sqrt2

Source:

March 16, 2021
algebraradical

Problem Statement

What is the number x=4+7−4−7−2x =\sqrt{4+\sqrt7}-\sqrt{4-\sqrt7}-\sqrt2, positive, negative or zero?
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