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 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
Square Root Of 1
Square Root Of 1
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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 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
Indeed we can extend the definition of the square root to any complex number setting it as the principal value of sqrt z e 1 2 ln z with the same result However is true that i 2 1 Share Instead of finding the square root of 2 look at the square root of 200 and note that 200 14 4 This is part of a general approach that says if N a b where b
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Think about a decimal number between 0 and 1 as a fraction with its numerator GREATER than its denominator Say you are taking the square root of the number 1 25 So you acquire sqrt 1 25 as the expression which you have to evaluate This becomes sqrt 1 sqrt 25 or 1 5 1 5 1 25 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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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
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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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Square Root Of 1 - 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
