Atividade: Números Imaginários Puros

Nesta atividade, nós vamos praticar a calcular, simplificar e multiplicar números imaginários puros e resolver equações sobre o conjunto de números imaginários puros.

Q1:

Resolva a equação 2 π‘₯ = βˆ’ 5 0 2 .

  • A π‘₯ = 5 √ 2 𝑖 , π‘₯ = βˆ’ 5 √ 2 𝑖
  • B π‘₯ = 5 , π‘₯ = βˆ’ 5
  • C π‘₯ = 5 √ 2 2 𝑖 , π‘₯ = βˆ’ 5 √ 2 2 𝑖
  • D π‘₯ = 5 𝑖 , π‘₯ = βˆ’ 5 𝑖
  • E π‘₯ = 5 2 𝑖 , π‘₯ = βˆ’ 5 2 𝑖

Q2:

Simplifique 1 7 𝑖 ( βˆ’ 5 𝑖 ) .

Q3:

Simplifique ( 2 𝑖 ) ( βˆ’ 2 𝑖 )   .

  • A32
  • B 3 2 𝑖
  • C4
  • D βˆ’ 3 2 𝑖
  • E βˆ’ 4 𝑖

Q4:

Resolva a equação π‘₯ = βˆ’ 1 6  .

  • A π‘₯ = βˆ’ 8
  • B π‘₯ = 4 , π‘₯ = βˆ’ 4
  • C π‘₯ = 2 𝑖 , π‘₯ = βˆ’ 2 𝑖
  • D π‘₯ = 4 𝑖 , π‘₯ = βˆ’ 4 𝑖
  • E π‘₯ = 𝑖 , π‘₯ = 4

Q5:

Simplifique √ βˆ’ 6 1 .

  • A βˆ’ √ 6 1
  • B βˆ’ √ 6 1 𝑖
  • C √ 6 1
  • D √ 6 1 𝑖
  • E 6 1 𝑖

Q6:

Simplifique 𝑖   οŠͺ .

  • A 𝑖
  • B 1
  • C βˆ’ 𝑖
  • D βˆ’ 1

Q7:

Simplifique 1 𝑖    .

  • A βˆ’ 1
  • B1
  • C 𝑖
  • D βˆ’ 𝑖

Q8:

Simplifique √ βˆ’ 1 0 Γ— √ βˆ’ 6 .

  • A 2 √ 1 5
  • B 2 √ 1 5 𝑖
  • C βˆ’ 4
  • D βˆ’ 2 √ 1 5
  • E βˆ’ 2 √ 1 5 𝑖

Q9:

Determinar o conjunto de soluçáes de 4 π‘₯ + 1 1 1 = 7 5  sobre o conjunto de nΓΊmeros complexos.

  • A { βˆ’ 3 𝑖 }
  • B { 3 𝑖 }
  • C { 0 , 3 𝑖 }
  • D { βˆ’ 3 𝑖 , 3 𝑖 }

Q10:

Simplifique 𝑖       , sendo 𝑛 ∈ β„€  .

  • A βˆ’ 1
  • B 1
  • C 𝑖
  • D βˆ’ 𝑖

Q11:

Dado que 𝑛 Γ© um inteiro, simplifique 𝑖       .

  • A βˆ’ 1
  • B1
  • C βˆ’ 𝑖
  • D 𝑖

Q12:

Simplifique 𝑖   .

  • A βˆ’ 1
  • B1
  • C βˆ’ 𝑖
  • D 𝑖

Q13:

Simplifique a expressΓ£o 𝑖  .

  • A 𝑖
  • B βˆ’ 1
  • C1
  • D βˆ’ 𝑖

Q14:

Simplifique 1 𝑖 οŠͺ  .

  • A βˆ’ 1
  • B1
  • C 𝑖
  • D βˆ’ 𝑖

Q15:

Qual Γ© o valor de ( 5 𝑖 )  ?

Q16:

Simplifique ( βˆ’ 2 𝑖 ) ( 2 𝑖 )  οŠͺ .

  • A βˆ’ 4
  • B64
  • C4
  • D βˆ’ 6 4

Q17:

Simplifique ( βˆ’ 2 𝑖 ) ( 2 𝑖 )   .

  • A βˆ’ 6 4 𝑖
  • B βˆ’ 6 4
  • C βˆ’ 4 𝑖
  • D64
  • E4

Q18:

Simplifique βˆ’ 6 𝑖 ( βˆ’ 8 𝑖 ) .

Q19:

Simplifique 1 𝑖   .

  • A βˆ’ 1
  • B1
  • C βˆ’ 𝑖
  • D 𝑖

Q20:

Simplifique 𝑖   .

  • A βˆ’ 1
  • B 1
  • C βˆ’ 𝑖
  • D 𝑖

Q21:

Encontre o valor de βˆ’ √ βˆ’ 1 4 4 .

  • A 1 2 𝑖
  • B βˆ’ 1 2
  • C12
  • D βˆ’ 1 2 𝑖
  • E βˆ’ 1 4 4 𝑖

Q22:

A que Γ© igual a √ βˆ’ 2 5 ?

  • A5
  • B βˆ’ 5
  • C βˆ’ 5 𝑖
  • D 5 𝑖
  • E 2 5 𝑖

Q23:

Qual Γ© o valor de 𝑖 7 ?

  • A 𝑖
  • B βˆ’ 1
  • C1
  • D βˆ’ 𝑖

Q24:

Qual Γ© o valor de 𝑖 2 ?

Q25:

Qual Γ© o valor de 3 𝑖 2 ?

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