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Объяснение:

[tex] \sqrt{7 - \sqrt{24} } \times \sqrt{7 + \sqrt{24} } \\ \sqrt{(7 - 2 \sqrt{6} } )(7 + 2 \sqrt{6} ) \\ (a - b)(a + b) = a ^{2} - b ^{2} \\ \sqrt{49 - 4 \times 6} = \sqrt{49 - 24} = \sqrt{25} = 5[/tex]