Question

1) Transforme em uma única raiz
a)√√20

b) 3^√√x

c) √3^√a^2

d) 10^√√3

Answer 1

Resposta:

$a)\\ \sqrt{\sqrt{20} } =\sqrt[2.2]{20} =\sqrt[4]{20} \\ \\ b)\\ \sqrt[3]{\sqrt{a^2} } =\sqrt[3.2]{a^2} =\sqrt[6]{a^2} =~~simplificando~~\sqrt[6:2]{a^{2:2}} =\sqrt[3]{a} \\ \\ c)\\ \sqrt[10]{\sqrt{3} } =\sqrt[10.2]{3} =\sqrt[20]{3}$