Finding a cube root of a number without using calculator .

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    Calculator Cube Root
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Discussion Overview

The discussion revolves around methods for finding the cube root of a number without the use of a calculator. Participants explore various techniques and share personal experiences related to calculating cube roots and square roots manually.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant expresses uncertainty about how to find cube roots manually, contrasting it with the ease of finding square roots.
  • Another participant shares a link to a resource that may provide methods for calculating cube roots, referencing a personal experience of learning similar techniques in school.
  • A numerical recipe is proposed for calculating cube roots, involving an iterative method that starts with an initial guess and refines it based on a specific formula.
  • One participant expresses gratitude for the assistance provided in the discussion.

Areas of Agreement / Disagreement

The discussion does not reach a consensus on a single method for calculating cube roots, as various approaches are suggested and explored.

Contextual Notes

Some methods may depend on the choice of initial guess or the definition of "small enough" for convergence, which are not explicitly resolved in the discussion.

Emmanuel_Euler
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HI EVERYONE
I was thinking if we could find a cube root without using a calculator.
square root was easy to find without calculator,but cube root i have no idea to find it.
any help??
for example(cube root of 3 or 2)
 
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finding a square root without using calculator.
 
A numerical recipe for calculating \sqrt[3]{a}. Set x_{1}=\frac{a}{3} and recursively calculate x_{n+1}=\frac{1}{3}(2x_{n}+\frac{a}{x_{n}^{2}}). Stop when |xn+1 - xn| is "small enough".
 
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Thank you so much for help.
 

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