Question

3) Determine cada uma das raízes:
A)
$\sqrt[7]{128}$
B)
$\sqrt[4]{2401}$
C)
$\sqrt{625}$
D)
$\sqrt[3]{729}$
E)
$\sqrt[3]{343}$
F)
$\sqrt[3]{216}$
​

Answer 1

Explicação passo-a-passo:

$A)\\ \sqrt[7]{128} =\sqrt[7]{2^7} =2\\ B)\\ \sqrt[4]{2401} =\sqrt[4]{7^4} =7\\ C)\\ \sqrt{625} =\sqrt{5^4} =\sqrt{5^2.5^2} =5.5=25\\ D)\\ \sqrt[3]{729} =\sqrt[3]{3^6} =\sqrt[3]{3^3.3^3} =3.3=9\\ E)\\ \sqrt[3]{343} =\sqrt[3]{7^3} =7\\ F)\\ \sqrt[3]{216} =\sqrt[3]{2^3.3^3} =2.3=6$