Explicación paso a paso:
[tex](\sqrt{(\sqrt[3]{\sqrt{2} } )^{6} } )^{4}[/tex]
las raices se multiplican
[tex](\sqrt{(\sqrt[3x2]{2} } )^{6} } )^{4} = (\sqrt{(\sqrt[6]{2} } )^{6} } )^{4}[/tex]
la raiz 6 se elimina con la potencia 6
[tex](\sqrt{(\sqrt[6]{2} } )^{6} } )^{4} = (\sqrt{({2 } )^{4}[/tex]
⇒
[tex]\sqrt{2^{4}[/tex] = [tex]2^{4-2}[/tex] = [tex]2^{2}[/tex] = 4
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Explicación paso a paso:
[tex](\sqrt{(\sqrt[3]{\sqrt{2} } )^{6} } )^{4}[/tex]
las raices se multiplican
[tex](\sqrt{(\sqrt[3x2]{2} } )^{6} } )^{4} = (\sqrt{(\sqrt[6]{2} } )^{6} } )^{4}[/tex]
la raiz 6 se elimina con la potencia 6
[tex](\sqrt{(\sqrt[6]{2} } )^{6} } )^{4} = (\sqrt{({2 } )^{4}[/tex]
⇒
[tex]\sqrt{2^{4}[/tex] = [tex]2^{4-2}[/tex] = [tex]2^{2}[/tex] = 4