How to Calculate Cube Root Of 24 digit number?

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anuragkanase
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Hello Friends,
I have a question of calculating a cube root of large number like 24 digit number.
I calculated by means of Wolfram but I want to try it myself on paper. Is there a method such as Calculus or Algebraic to find the cube root?
Thank you.
P.S. I want to use the method for several other numbers.
 
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Well the number is : x^3= 133737775549834923406792. So I wish to find out the 'x'.
And x is a positive integer. So I only want the real part here. And the real part only exists.
thanks Simon Bridge. :)
 
Well the number is : x^3= 133737775549834923406792. So I wish to find out the 'x'.
And x is a positive integer. So I only want the real part here. And the real part only exists.
thanks Simon Bridge. :)