Question

Mais uma ai! me ajudem
isso é pra entregar hoje :3

Answer 1

$a)\ \sqrt[10]{32} =\sqrt[10]{2^5} =\sqrt[10:5]{2^{5:5}} =\sqrt{2}\\ \\b)\ \sqrt[8]{64} =\sqrt[8]{2^6} =\sqrt[8:2]{2^{6:2}} =\sqrt[4]{2^3}\\ \\c)\ \sqrt[9]{27} =\sqrt[9]{3^3} =\sqrt[9:3]{3^{3:3}} =\sqrt[3]{3}\\ \\d)\ \sqrt[12]{1024} =\sqrt[12]{2^{10}} =\sqrt[12:2]{2^{10:2}} =\sqrt[6]{2^5}$

$a) \sqrt[8]{ \sqrt{10} } = \sqrt[8\cdot2]{10} = \sqrt[16]{10} \\ b) \sqrt{ \sqrt{ \sqrt{2} } } = \sqrt[2\cdot2\cdot2]{2} = \sqrt[8]{2}$