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DanielAcedo Group Title

How do I simplify the expression 4+√-4+i i being an imaginary number.

  • one year ago
  • one year ago

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  1. LogicalApple Group Title
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    Is that \[4 + \sqrt{-4} + i\] or \[4 + \sqrt{-4 + i}\]

    • one year ago
  2. DanielAcedo Group Title
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    The first one

    • one year ago
  3. LogicalApple Group Title
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    Oh ok, thank you. Would you agree that \[\sqrt{-4} = \sqrt{(-1)(4)} = \sqrt{-1} * \sqrt{4}\]

    • one year ago
  4. DanielAcedo Group Title
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    Yes

    • one year ago
  5. LogicalApple Group Title
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    And \[\sqrt{-1} = i\]

    • one year ago
  6. DanielAcedo Group Title
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    Yes, isnt also i^2 -1

    • one year ago
  7. LogicalApple Group Title
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    That is true as well

    • one year ago
  8. LogicalApple Group Title
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    So we see how \[\sqrt{-4} = \sqrt{-1} * \sqrt{4} = i * 2 = 2i\]

    • one year ago
  9. DanielAcedo Group Title
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    Ohh I see

    • one year ago
  10. DanielAcedo Group Title
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    So would my answer be 4+3i ?

    • one year ago
  11. LogicalApple Group Title
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    Yes, that is right

    • one year ago
  12. DanielAcedo Group Title
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    Oh Ok, Thank you!

    • one year ago
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