Square root formulas I deduced a simpler formula for the square root using only one trigonometric function "acos", it is a controllable precision formula in advance, the correct decimals 2n are controlled by choosing n, based on the discovery of a pattern, the square root is proportional to the angle: √x=1/(10^n acos[x/(x+0.5 10^(2n) )] ) or √x= 10^n x acos[x/(x+0.5 10^(2n) )] Because "acos" is illconditioned I suggest to use a high precision program to calculate the formula such as https://www.wolframalpha.com/ You can check my research paper preprint at : https://www.researchgate.net/profile/Mones_Jaafar I welcome your comments and hope that you find it useful 
Why is this better than usual methods? 
what does x/(x+0.5 10^(2n) ) mean? Is it $$\frac{x}{x+0.5 \times 10^{2n}}$$ 
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You can control the correct decimals by simply choosing n if you choose n = 3 you get 2n = 6 correct decimals if you choose n = 18 you get 2n= 36 correct decimals The formulas are based on the discovery of a pattern this is not a calculation method only it is a mathematical law and formulas that illustrate the incontestable relation between the square root and the trigonometric function according to a specific pattern, Thanks, 
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to calculate the square root of x choose n that control the correct decimals 2n and calculate the formula using a correct and high precision program such as https://www.wolframalpha.com/ 
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