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Okay, you have ONE CHANCE to explain to me WHAT THE FUCK a square root ACTUALLY IS, and by extension an N-th root. The way I see it, it's computational hog wash and DOESN'T HOLD IT'S LIGHT TO MUH RIGOUR WHEN YOU CANT EVEN DEFINE IT IN BASIC TERMS.
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What are you talking about? A square root is just dividing something by itself.
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even wildburger doesn't have problem with there existing irrational n-th roots
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>>8878118
Wrong
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Take a number. Now find the two identical numbers that, when combined, form that number. The square root of the original number is just one of those two numbers.
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>>8878120
proof
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>>8878114
[eqn]\forall N\inR,N>0 \exists r:r^n = N[/eqn]
We call r the nth root of N
In the case of N<0, we get into complex numbers, and also have to acknowledge the n-1 other roots existing in the complex plane for N.
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>>8878114
https://ocw.mit.edu/courses/mathematics/18-014-calculus-with-theory-fall-2010/course-notes/MIT18_014F10_ChBnotes.pdf
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>>8878120
shut the fuck up he wouldnt cuck out on something so basic
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>>8878114
If n*x = a
x = nth root of
Granted n is a natural number its that fucking simple
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>>8878300
meant nth root of a*
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>>8878118
>n/n=1 for all n!=0, oo
wew lad
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>>8878114
The unique nonnegative solution to the equation x^2 = a
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>>8878118
Kek so any square root equals one?
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>>8878114
Subtraction is the opposite of addition
Division is the opposite of multiplication
N-th roots are the opposites of n-th powers
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File: nth roots are just extending it to n dimensions. ie cubes. hyper cubes. lines etc....png (11KB, 618x499px) Image search:
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>>8878114
What are you asking for? Is this intuitive enough for you? I spent a couple minutes on mspaint for you.
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>>8878114
[math] \sqrt{n} \cdot \sqrt{n}=n [/math]
Happy??
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>>8878469
show me how to cut up [math]\sqrt{2}[/math] of something brainlet
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>>8878517
show me how to cut up 1/2 of something brainlet
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>>8878520
are you retarded?
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>>8878533
show me then. cut exactly 1/2 of something
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File: tutorial for brainlets.png (31KB, 888x629px) Image search:
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>>8878517
>>8878533
There you go. About are accurate as trying to perfectly cut something in half
Thread posts: 23
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Thread images: 3