Square Root Of 1 What is the square root of 1 If the square root of 1 is itself then why does other square root of number not equal to themselves Is there other square root of 1 aside from 1 This question is somewhat a deconstruction of the fundamental logic of mathematical concepts but I can t find a good reason to answer this questions Hoping for a good
To get a continuous branch of square root it s necessary to remove enough of the plane that the domain of the square root doesn t encircle the origin The customary choice is to remove the non positive reals Ironically this explicitly excludes 1 from the domain of the square root A common alternative choice is to remove the non The answer is that there are two square roots of 1 This is no different than with real numbers for example there are two square roots of 4 2 and 2 The main difference is that the complex numbers don t have a good way to single out one of the two square roots as the special one
Square Root Of 1
Square Root Of 1
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Also a wanted property is that it is continuous except for the non positive reals And I guess it s also a wanted property that for all numbers except of the negative reals the square root of the conjugate is the conjugate of the square root for the negative reals it s not possible to achieve that endgroup I was trying to do this integral int sqrt 1 x 2 dx I saw this question and its use of hyperbolic functions I did it with binomial differential method since the given integral is in a form o
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow the largest most trusted online community for developers to learn share their knowledge and build their careers Since sqrt 2 is irrational is there a way to compute the first 20 digits of it What I have done so far I started the first digit decimal of the sqrt 2 by calculating iteratively so th
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A different approach building up from first principles without using cos or sin to get the identity arcsin x int frac1 sqrt 1 x 2 dx where the integrals is from 0 to z As is clear from the other answers you have to change it to a square root of 1 But still what is this supposed to mean We know that there exists no real square root of 1 so what kind of objects and what kind of multiplication are we talking about These are the questions a student should ask when confronted with such a definition
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What is the square root of 1 If the square root of 1 is itself then why does other square root of number not equal to themselves Is there other square root of 1 aside from 1 This question is somewhat a deconstruction of the fundamental logic of mathematical concepts but I can t find a good reason to answer this questions Hoping for a good
https://math.stackexchange.com/questions/1097134
To get a continuous branch of square root it s necessary to remove enough of the plane that the domain of the square root doesn t encircle the origin The customary choice is to remove the non positive reals Ironically this explicitly excludes 1 from the domain of the square root A common alternative choice is to remove the non
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