Write Complex Number in Standard Form

Discussion in 'Other Pre-University Math' started by nycmathguy, Sep 14, 2021.

  1. nycmathguy

    nycmathguy

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    Section 2.4
    14, 18, 20

    Question 14

    4 + sqrt{-49}

    4 + sqrt{49} • sqrt{-1}

    4 + 7 • sqrt{-1}

    Let sqrt{-1} = I

    4 + 7i

    Question 18

    50 becomes 50 + 0i.

    Question 20

    -2i^2 + 4i

    Let i^2 = -1

    -2(-1) + 4i

    2 + 4i

    You say?

    Can you do 22?

    20210913_233644.jpg
     
    nycmathguy, Sep 14, 2021
    #1
  2. nycmathguy

    MathLover1

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    22.
    sqrt(-0.025)
    sqrt(0.025)sqrt(-1)
    0.158114i
     
    MathLover1, Sep 14, 2021
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  3. nycmathguy

    nycmathguy

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    There's a typo here. You forgot one extra 0 in the radicand.
     
    nycmathguy, Sep 14, 2021
    #3
  4. nycmathguy

    MathLover1

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    sorry, ty for paying attention to it

    sqrt(0.0025)sqrt(-1)
    sqrt(25/10000)sqrt(-1)
    sqrt(5^2)/sqrt(100^2))*i
    (5/100)*i
    0.05i
     
    Last edited: Sep 14, 2021
    MathLover1, Sep 14, 2021
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  5. nycmathguy

    nycmathguy

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    One thing I love about math is the attention to details it requires.
     
    nycmathguy, Sep 15, 2021
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  6. nycmathguy

    MathLover1

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    yes, math is all about the facts and the attention to details
     
    MathLover1, Sep 15, 2021
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  7. nycmathguy

    nycmathguy

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    This is why I like it. It keeps my brain cells alive and well.
     
    nycmathguy, Sep 16, 2021
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