Question

quanto é?
$\sqrt[4]{81}$
$\sqrt[4]{ \frac{8}{81} }$
$\sqrt[4]{625}$
$\sqrt[5]{ - 125}$
​

Answer 1

a) $\sqrt[4]{81}$

81 | 3        $\sqrt[4]{3^{4}}$ = 3

27 | 3

9 | 3

3 | 3

1

b) $\sqrt[4]{\frac{8}{81}}$ =

$\frac{\sqrt[4]{8}}{\sqrt[4]{81}}$ =

$\frac{\sqrt[4]{8}}{3}$

c) $\sqrt[4]{625}$

625 | 5     $\sqrt[4]{5^{4}}$ = 5

125 | 5

25 | 5

5  | 5

1

d) $\sqrt[5]{-125}$ =

$\sqrt[5]{-1x125}$ =

$\sqrt[5]{-1} . \sqrt[5]{125}$ =

$\sqrt[5]{125}i$