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Junior Regional Olympiad - FBH 2016 Grade 7 Problem 2

Source:

September 29, 2018
rootsalgebra

Problem Statement

If w=1+−3+23−1−−3+23w=\sqrt{1+\sqrt{-3+2\sqrt{3}}}-\sqrt{1-\sqrt{-3+2\sqrt{3}}} prove that w=3−1w=\sqrt{3}-1
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