Ответ:
а) 3 б)4
Пошаговое объяснение:
[tex] \sqrt{6 + \sqrt{6 + \sqrt{6 + \sqrt{9} } } } = \sqrt{6 + \sqrt{6 + \sqrt{6 + 3} } } = \sqrt{6 + \sqrt{6 + \sqrt{9} } } = \sqrt{6 + \sqrt{6 + 3} } = \sqrt{6 + \sqrt{9} } = \sqrt{6 + 3} = \sqrt{9} = 3 [/tex]
[tex] \sqrt{20 - \sqrt{20 - \sqrt{20 - \sqrt{16} } } } = \sqrt{20 - \sqrt{20 - \sqrt{20 - 4} } } = \sqrt{20 - \sqrt{20 - \sqrt{16} } } = \sqrt{20 - \sqrt{20 - 4} } = \sqrt{20 - \sqrt{16} } = \sqrt{20 - 4} = \sqrt{16} = 4[/tex]
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Answers & Comments
Ответ:
а) 3 б)4
Пошаговое объяснение:
[tex] \sqrt{6 + \sqrt{6 + \sqrt{6 + \sqrt{9} } } } = \sqrt{6 + \sqrt{6 + \sqrt{6 + 3} } } = \sqrt{6 + \sqrt{6 + \sqrt{9} } } = \sqrt{6 + \sqrt{6 + 3} } = \sqrt{6 + \sqrt{9} } = \sqrt{6 + 3} = \sqrt{9} = 3 [/tex]
[tex] \sqrt{20 - \sqrt{20 - \sqrt{20 - \sqrt{16} } } } = \sqrt{20 - \sqrt{20 - \sqrt{20 - 4} } } = \sqrt{20 - \sqrt{20 - \sqrt{16} } } = \sqrt{20 - \sqrt{20 - 4} } = \sqrt{20 - \sqrt{16} } = \sqrt{20 - 4} = \sqrt{16} = 4[/tex]