How to Find the nth Roots of a Complex Number with the Formula

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  • Опубликовано: 20 окт 2024

Комментарии • 54

  • @likhomava600
    @likhomava600 11 месяцев назад +9

    spent like an hour searching for a vidoe that explains this and i stumbled to your videos, thank you so much it really helped, really helpful. really apppreciate you

  • @MarceloCelaj
    @MarceloCelaj 10 месяцев назад +6

    bruh this is my first time commentin on a video on yt u have noidea how much uve helped me with this God bless u

    • @TheMathSorcerer
      @TheMathSorcerer  10 месяцев назад

      Oh yes this video!!! I remember making this, this topic can be hard to explain. I am so glad it helped!!!!!

  • @educatedbarbarian
    @educatedbarbarian Год назад +9

    This helped me learn how to generalize it. My mathematics professor had recently explained the cube roots of unity and I wondered if there was a way to generalize it for an nth root for any number with a real and imaginary part.

  • @dandelion7885
    @dandelion7885 7 месяцев назад

    THANK YOU SO MUCH!! None of the other videos I found were able to explain this concept as clearly as you did 😭

  • @sammersonz
    @sammersonz Год назад +106

    who else has an engineering maths exam tomorrow lmfao

    • @TheMathSorcerer
      @TheMathSorcerer  Год назад +9

      good luck:)

    • @sammersonz
      @sammersonz Год назад +6

      @@TheMathSorcerer TY kind sir, i passed my exam. your channel was so much help during my studies, in fact 2 very similar problems like the one you solved here came on my exam xD thanks SUBBED

    • @peternunrisemmanuella9372
      @peternunrisemmanuella9372 Год назад

      Lol

    • @juniperjuniper8774
      @juniperjuniper8774 10 месяцев назад +2

      i got an 86!

    • @sikertsok225
      @sikertsok225 9 месяцев назад

      I'm just waiting for my oral exam on this... I'm very very scared.

  • @hijohan5910
    @hijohan5910 10 месяцев назад +2

    Thanks for the video. I understood right away

  • @BlackAngel-mf6do
    @BlackAngel-mf6do 5 месяцев назад

    Simple and easy, thank you Sir.

  • @zianiera
    @zianiera 8 месяцев назад

    Nicely explained

  • @HarshalKanumuri
    @HarshalKanumuri 6 месяцев назад

    apologies if this is a continuation of a previous video , where can I find the proof of the alpha value ? Thank you ( Great video )

  • @UUTV44
    @UUTV44 4 дня назад

    what a great video thank u :0

  • @leepatrick1756
    @leepatrick1756 5 месяцев назад

    Very clear!
    Thanks

  • @jorgelau9033
    @jorgelau9033 Месяц назад

    Thank you

  • @legesesunkurtalagide-ew3nv
    @legesesunkurtalagide-ew3nv 4 месяца назад

    thanks

  • @ZhiyingYe-c3h
    @ZhiyingYe-c3h 6 месяцев назад

    is there a way to quickly find out how many possible roots a complex number will have?

  • @Abc19853
    @Abc19853 Год назад +2

    Plz sir tell what is the proof of these formulas to find roots?

  • @trevorbrasch1118
    @trevorbrasch1118 Год назад

    Very helpful!

  • @Vishnu_akulwar
    @Vishnu_akulwar 4 месяца назад

    (2x+3) (3x-1) (x-2) is the right answer of DIY

  • @spirall2100
    @spirall2100 5 месяцев назад

    a level math sucks but u made it easier

  • @optimalcodex8394
    @optimalcodex8394 Год назад +2

    thank uu

  • @Adroitbit
    @Adroitbit 9 месяцев назад

    wait if theta=0 then we have at least two answer?
    But theta=0 is real number so there should be only one answer?
    I'm confused
    [EDIT] ok Nth root of numbers is defined differently than those sqrt() or cbrt() function

  • @muaazkhan5388
    @muaazkhan5388 4 месяца назад

    what if it says find the roots instead of square roots

  • @محمدعليآلغبان-غ5ف
    @محمدعليآلغبان-غ5ف Месяц назад

    Please tell me where to find the proof, and I'm just asking am i that dumb or they don't actually teach where this comes from before college?

  • @konozaand3706
    @konozaand3706 2 года назад +1

    At 8:51 is cos(pi / 4) not equal to 1/sqrt(2) ?

    • @untermensch787
      @untermensch787 2 года назад

      They are both the same number, multiply 1/sqrt(2) by itself and you'll see it

    • @markomdfk6663
      @markomdfk6663 Год назад

      i have been taught that the denominator cant be a sqrt so you have to rationalise ( mulyiply by the sqrt in this example sqrt(2) so the one is now sqrt(2)/2

    • @bradleywang289
      @bradleywang289 Год назад

      @@markomdfk6663it can during calculations, it’s just an agreed upon form,similar to how fractions have to be simplified

  • @Pixe-gv6tt
    @Pixe-gv6tt 5 месяцев назад +1

    im still lost atp 10th grade maths is crazy.

  • @NathanPaku-u1p
    @NathanPaku-u1p 4 месяца назад

    Why is n=2?

  • @rebanathpegulearner1252
    @rebanathpegulearner1252 Месяц назад

    Cos π/4=

  • @immmeneee
    @immmeneee 6 месяцев назад +2

    Ap precalc😢

  • @MiltonRoy-j3t
    @MiltonRoy-j3t Месяц назад

    Huels Land

  • @samuel-williamhoule4713
    @samuel-williamhoule4713 11 месяцев назад

    yo le gros t'écrit fkg ben

  • @tombouie
    @tombouie 5 месяцев назад

    Thks;
    How are they different? Cube root vs the exponent of 1/3 ruclips.net/video/44kBz2-rfhM/видео.html

  • @MelissaMelance
    @MelissaMelance 8 месяцев назад

    Mee😂😂

  • @chriszablocki2460
    @chriszablocki2460 2 года назад +2

    Its not that complicated. If you tell me the truth, I don't have to find the answers publicly. If it's difficult to say, write it down on a piece of notebook paper.

  • @pelasgeuspelasgeus4634
    @pelasgeuspelasgeus4634 5 месяцев назад

    Complex numbers are fake invented math because
    (1) the definition of a complex number contradicts to the laws of formal logic, because this definition is the union of two contradictory concepts: the concept of a real number and the concept of a non-real (imaginary) number-an image. The concepts of a real number and a non-real (imaginary) number are in logical relation of contradiction: the essential feature of one concept completely negates the essential feature of another concept. These concepts have no common feature (i.e. these concepts have nothing in common with each other), therefore one cannot compare these concepts with each other. Consequently, the concepts of a real number and a non-real (imaginary) number cannot be united and contained in the definition of a complex number. The concept of a complex number is a gross formal-logical error;
    (2) the real part of a complex number is the result of a measurement. But the non-real (imaginary) part of a complex number is not the result of a measurement. The non-real (imaginary) part is a meaningless symbol, because the mathematical (quantitative) operation of multiplication of a real number by a meaningless symbol is a meaningless operation. This means that the theory of complex number is not a correct method of calculation. Consequently, mathematical (quantitative) operations on meaningless symbols are a gross formal-logical error;
    (3) a complex number cannot be represented (interpreted) in the Cartesian geometric coordinate system, because the Cartesian coordinate system is a system of two identical scales (rulers). The standard geometric representation (interpretation) of a complex number leads to the logical contradictions if the scales (rulers) are not identical. This means that the scale of non-real (imaginary) numbers cannot exist in the Cartesian geometric coordinate system.