Question

simplifique as raízes​

Answer 1

Explicação passo-a-passo:

$\sf \sqrt[3]{\sqrt[4]{\sqrt{9}}}$

$\sf =\sqrt[3]{\sqrt[4]{3}}$

$\sf =\sqrt[3\cdot4]{3}$

$\sf =\sqrt[12]{3}$

b) $\sf \sqrt[3]{\sqrt[2]{\sqrt[3]{\sqrt[3]{39}}}}$

$\sf =\sqrt[3\cdot2\cdot3\cdot3]{39}$

$\sf =\sqrt[54]{39}$

c) $\sf (\sqrt[3]{9^4})^3$

$\sf =\sqrt[3]{(9^4)^3}$

$\sf =9^4$

$\sf =(3^2)^4$

$\sf =(3^8)$

$\sf =6561$

d) $\sf (\sqrt[3]{9^8})^2$

$\sf =\sqrt[3]{(9^8)^2}$

$\sf =\sqrt[3]{(9^5)^3\cdot9}$

$\sf =9^5\sqrt[3]{9}$

$\sf =59049\sqrt[3]{9}$