Respuesta:
[tex]e = \sqrt[n]{ \sqrt{3} + 2 } \times \sqrt[2n]{7 - 4 \sqrt{3} } \\e = \sqrt[2n]{ (\sqrt{3} + 2 )^{2} } - \sqrt[2n]{7 - 4 \sqrt{3} } \\ e = \sqrt[2n]{ \sqrt{3} + 2 \times (7 - 4 \sqrt{3} } \\ e = \sqrt[2n]{(3 + 4 \sqrt{3} + 4)(7 - 4 \sqrt{3} } \\ e = \sqrt[2n]{7 + 4 \sqrt{3} \times 7 - 4 \sqrt{3} } \\ e = \sqrt[2n]{49 - 16 \times 3} \\ e = \sqrt[2n]{49 - 28} \\ e = \sqrt[2n ]{1} \\ e = 1[/tex]
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Respuesta:
[tex]e = \sqrt[n]{ \sqrt{3} + 2 } \times \sqrt[2n]{7 - 4 \sqrt{3} } \\e = \sqrt[2n]{ (\sqrt{3} + 2 )^{2} } - \sqrt[2n]{7 - 4 \sqrt{3} } \\ e = \sqrt[2n]{ \sqrt{3} + 2 \times (7 - 4 \sqrt{3} } \\ e = \sqrt[2n]{(3 + 4 \sqrt{3} + 4)(7 - 4 \sqrt{3} } \\ e = \sqrt[2n]{7 + 4 \sqrt{3} \times 7 - 4 \sqrt{3} } \\ e = \sqrt[2n]{49 - 16 \times 3} \\ e = \sqrt[2n]{49 - 28} \\ e = \sqrt[2n ]{1} \\ e = 1[/tex]