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
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.
@@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
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
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
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.
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.
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
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.
who else has an engineering maths exam tomorrow lmfao
good luck:)
@@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
Lol
i got an 86!
I'm just waiting for my oral exam on this... I'm very very scared.
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
Oh yes this video!!! I remember making this, this topic can be hard to explain. I am so glad it helped!!!!!
THANK YOU SO MUCH!! None of the other videos I found were able to explain this concept as clearly as you did 😭
Thanks for the video. I understood right away
Thank you
Simple and easy, thank you Sir.
yes
Very clear!
Thanks
apologies if this is a continuation of a previous video , where can I find the proof of the alpha value ? Thank you ( Great video )
Nicely explained
Plz sir tell what is the proof of these formulas to find roots?
thanks
thank uu
is there a way to quickly find out how many possible roots a complex number will have?
Very helpful!
(2x+3) (3x-1) (x-2) is the right answer of DIY
a level math sucks but u made it easier
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
At 8:51 is cos(pi / 4) not equal to 1/sqrt(2) ?
They are both the same number, multiply 1/sqrt(2) by itself and you'll see it
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
@@markomdfk6663it can during calculations, it’s just an agreed upon form,similar to how fractions have to be simplified
im still lost atp 10th grade maths is crazy.
what if it says find the roots instead of square roots
Cos π/4=
Ap precalc😢
Why is n=2?
Square root(2)
So 2!
Huels Land
Thks;
How are they different? Cube root vs the exponent of 1/3 czcams.com/video/44kBz2-rfhM/video.html
Mee😂😂
yo le gros t'écrit fkg ben
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.
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.