Question

Esqueci como faz!! Socorro

Answer 1

Resposta:

1)

a) √18

18 | 2

9 | 3 = 2 . 3²

3| 3

1

√18 = √2.3² = 3√2

b) √300

300 | 2

150 | 2

75 | 3 = 2² . 3 . 5²

25 | 5

5 | 5

1

√300 = √2² . 3 . 5² = 2.5.√3 = 10√3

c) ∛16

16 | 2

8 | 2

4 | 2 = 2³ . 2

2 | 2

1

∛16 = ∛2³ . 2 = 2.∛2 = 2∛2

d) ∛108

108 | 2

54 | 2

27 | 3 = 2² . 3³

9 | 3

3 | 3

1

∛108 = ∛2² . 3³ = 3∛2²

e) ∜162

162 | 2

81 | 3

27 | 3 = 2 . 3⁴

9 | 3

3 | 3

1

∜162 = ∜2 . 3⁴ = 3.∜2 = 3∜2

f) ∜96

96 | 2

48 | 2

24 | 2 = 2⁴ . 2 . 3

12 | 2

6 | 2

3 | 3

1

∜96 = ∜2⁴ . 2 . 3 = 2.∜2.∜3 = 2∜6