[tex] \sqrt{(4 - \sqrt{11}) {}^{2} } - \sqrt{(1 - \sqrt{11} ) {}^{2} } = \\ 4 - \sqrt{11} - (1 - \sqrt{11} ) = \\ 4 - \sqrt{11} - 1 + \sqrt{11} = 4 - 1 = 3[/tex]
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[tex] \sqrt{(4 - \sqrt{11}) {}^{2} } - \sqrt{(1 - \sqrt{11} ) {}^{2} } = \\ 4 - \sqrt{11} - (1 - \sqrt{11} ) = \\ 4 - \sqrt{11} - 1 + \sqrt{11} = 4 - 1 = 3[/tex]