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YitzchakZayit
@YitzchakZayit
September 2019
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32) Calcule cada raiz decompondo os radicandos em fatores primos.
A)√1024
B)√2401
C)√6561
D)³√5832
E)³√19683
F)³√27000
Preciso para Hoje mesmo....
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valterbl
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Resolução.
a)√ 1024 = √2²×√2²×√2²×√2²×√2² =
2×2×2×2×2=32
Fatornado
1024/2
512/2
256/2
128/2
64/2
32/2
16/2
8/2
4/2
2/2
1
b) √2401 = √7² × √7² =
7 × 7 = 49
Fatorando
2401/7
343/7
49/7
7/7
1
c) √6561 = √3²×√3²×√3²×√3² =
3×3×3×3=81
Fatorando
6561/3
2187/3
729/3
243/3
81/3
27/3
9/3
3/3
1
d) ³√5832 = ³√2³×³√3³×³√3³=
2×3×3=18
Fatornado
5832/2
2916/2
1458/2
729/3
243/3
81/3
27/3
9/3
3/3
1
e) ³√19683 = ³√3³×³√3³×³√3³=
3×3×3=27
Fatorando
19683/3
6561/3
2987/3
729/3
243/3
81/3
27/3
9/3
3/3
1
f) ³√27000 = ³√2³×³√3³×³√5³ =
2×3×5=30
Fatorando
27000/2
13500/2
6750/2
3375/3
1125/3
375/3
125/5
25/5
5/5
1
Espero ter ajudado.
7 votes
Thanks 10
YitzchakZayit
Muito Obrigado! :)
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Lista de comentários
Resolução.
a)√ 1024 = √2²×√2²×√2²×√2²×√2² = 2×2×2×2×2=32
Fatornado
1024/2
512/2
256/2
128/2
64/2
32/2
16/2
8/2
4/2
2/2
1
b) √2401 = √7² × √7² = 7 × 7 = 49
Fatorando
2401/7
343/7
49/7
7/7
1
c) √6561 = √3²×√3²×√3²×√3² = 3×3×3×3=81
Fatorando
6561/3
2187/3
729/3
243/3
81/3
27/3
9/3
3/3
1
d) ³√5832 = ³√2³×³√3³×³√3³= 2×3×3=18
Fatornado
5832/2
2916/2
1458/2
729/3
243/3
81/3
27/3
9/3
3/3
1
e) ³√19683 = ³√3³×³√3³×³√3³= 3×3×3=27
Fatorando
19683/3
6561/3
2987/3
729/3
243/3
81/3
27/3
9/3
3/3
1
f) ³√27000 = ³√2³×³√3³×³√5³ = 2×3×5=30
Fatorando
27000/2
13500/2
6750/2
3375/3
1125/3
375/3
125/5
25/5
5/5
1
Espero ter ajudado.