Question

Resolva:
a) ³√125=
b)⁴√64=
c)⁴√81=
d)⁴√176=
e)³√1000=
f)√576=
g)⁵√243=​

Answer 1

a) ³√125= 5

b)⁴√64= 2⁴√2

c)⁴√81= 3

d)⁴√176= 2⁴√11

e)³√1000= 2³√17

f)√576= 24

g)⁵√243= 3

Fatorando pra achar as raízes

125|5

25|5

5|5 = ³√5³ = 5

1

64|2

32|2

16|2

8|2

4|2

2|2 = ⁴√2⁴.2² = 2⁴√4

1

81|3

27|3

9|3

3|3 = ⁴√3⁴ = 3

1

176|2

88|2

44|2

22|2

11|11 = ⁴√2⁴.11 = 2⁴√11

1

1000|2

500|2

250|2

175|5

35|5

7|7 = ³√2³.5².7 = 2³√175

1

576|2

288|2

144|2

72|2

36|2

18|2

9|3

3|3 = √2².2².2².3² = 24

1

243|3

81|3

27|3

9|3

3|3 = ⁵√3⁵ = 3

1

❤️ Espero ter ajudado ❤️

13/10/21