Question

decomponha o radicando em fatores primos e calcule o valor de cada radical.



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Answer 1

a)

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1 \ 2⁵

$\sqrt[5]{ {2}^{5} } = 2.$

b)

343 | 7

49 | 7

7 | 7

1 \ 7³

$\sqrt[3]{ {7}^{3} } = 7.$

c)

729 | 3

243 | 3

81 | 3

27 | 3

9 | 3

3 | 3

1 \ 3⁶

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1 \ 2⁶

$\sqrt[3]{ \frac{ {3}^{6} }{ {2}^{6} } } = \frac{ {3}^{2} }{ {2}^{2} } = \frac{9}{4}.$

d)

121 | 11

11 | 11

1 \ 11²

$\sqrt[2]{ {11}^{2} } = 11.$

e)

625 | 5

125 | 5

25 | 5

5 | 5

1 \ 5⁴

256 | 2

128 | 2

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1 \ 2⁸

$\sqrt[4]{ \frac{ {5}^{4} }{ {2}^{8} } } = \frac{5}{ {2}^{2} } = \frac{5}{4} .$

f)

1.024 | 2

512 | 2

256 | 2

128 | 2

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1 \ 2¹⁰

$\sqrt[5]{ \frac{1}{ {2}^{10} } } = \frac{1}{ {2}^{2} } = \frac{1}{4} .$