How to Find the Cube Root of a Number?

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SUMMARY

The discussion focuses on finding the cube root of large numbers, specifically addressing the challenge of extracting the cube root of 12,812,904 without a calculator. A suggested method is a long division-like algorithm, which is detailed on a referenced webpage. This approach is effective for numbers exceeding one million, providing a systematic way to calculate cube roots manually.

PREREQUISITES
  • Understanding of basic arithmetic operations
  • Familiarity with long division techniques
  • Knowledge of cube roots and their properties
  • Ability to follow algorithmic steps for manual calculations
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  • Research the long division method for cube roots
  • Explore algorithms for calculating cube roots manually
  • Study the properties of cube numbers and their roots
  • Learn about numerical methods for root extraction, such as Newton's method
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Mathematics students, educators, and anyone interested in manual calculation techniques for cube roots, especially those dealing with large numbers.

NotaMathPerson
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Hello!

My book explained how to take cube root of a number withou using calculator. I managed to extract the cube root of number less than a million. But when its higher like this one 12812904. I cannot extract it.

Can you suggest an algorithm on how to go about this one? Thanks!
 
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NotaMathPerson said:
Hello!

My book explained how to take cube root of a number withou using calculator. I managed to extract the cube root of number less than a million. But when its higher like this one 12812904. I cannot extract it.

Can you suggest an algorithm on how to go about this one? Thanks!

Hi NotaMathPerson,

There's a method to find the cube root of a number, similar to long division mentioned at the following webpage. It might be the one you are looking for.

https://xlinux.nist.gov/dads//HTML/cubeRoot.html
 

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