Question

simplifique os radicais :
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Answer 1

a) ⁴√16 = ⁴√2⁴ = 2

16 | 2

8 | 2

4 | 2

2 | 2 / R: 2⁴

1

b) ⁴√256 = ⁴√4⁴ = 4

256 | 2

128 | 2

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2 / R: 2⁸ ou 4⁴

1

c) ³√7¹⁹ = ³√7³ × 7³ × 7³ × 7³ × 7³ × 7³ × 7 = 7 × 7 × 7 × 7 × 7 × 7 × ³√7

49 × 49 × 49 × ³√7

117.649 × ³√7 ou 7⁶ × ³√7

d) √3²¹ = √3² × 3² × 3² × 3² × 3² × 3² × 3² × 3² × 3² × 3² × 3

3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × √3

9 × 9 × 9 × 9 × 9 × √3

81 × 81 × 9 × √3

59.049 × √3 ou 3¹⁰ × √3

e) ⁵√2¹³ = ⁵√ 2⁵ × 2⁵ × 2³ = 2 × 2 × ⁵√2³ = 4 × ⁵√8

Espero ter ajudado!