Question

Decomponha o radicando e simplifique o cada radical

Answer 1

a)
1024 | 2
512 | 2
256 | 2
128 | 2
64 | 2
32 | 2
16 | 2
8 | 2
4 | 2
2 | 2
1 |

$\sqrt[15]{1024} =$
$\sqrt[15]{{2}^{10}}$

seguindo a fatoração

b)

$\sqrt[12]{256} =$
$\sqrt[12]{{2}^{8}}$

c)

$\sqrt[6]{2187} =$
$\sqrt[6]{{3}^{7}}$

d)

$\sqrt[5]{160} =$
$\sqrt[5]{{2}^{5} \times 5} =$
$2 \sqrt[5]{5}$

e)

$\sqrt[3]{108} =$
$\sqrt[3]{2 \times 59}$

f)

$\sqrt[4]{16807} =$
$\sqrt[4]{{7}^{5}}$