How to Calculate Cube Root Of 24 digit number?

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In summary, the speaker is asking for a method to calculate the cube root of a large number, specifically a 24 digit number. They mention using Wolfram but wanting to try it on paper. They also mention factorizing the number and using the Newton-Raphson algorithm to find prime numbers. They clarify that they only want the real root for a positive integer. They are directed to a website with an algorithm to calculate cube roots and they thank the person who provided the link.
  • #1
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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  • #3
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. :)
 
  • #4
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. :)
 
  • #6
^ Just searching on the same site. :)
Thanks.
 
  • #7
second link post #2. well done.
that cube is very leet :)
 

1. What is the process for calculating the cube root of a 24-digit number?

The process for calculating the cube root of a 24-digit number involves breaking down the number into smaller parts, finding the cube root of those parts, and then combining them to find the final result. This can be done manually using long division or with the help of a calculator or computer program.

2. What is the mathematical formula for calculating the cube root of a number?

The mathematical formula for calculating the cube root of a number is ∛x = y, where x is the number and y is the cube root of that number. This can also be written as y³ = x.

3. Can the cube root of a 24-digit number be a decimal or fractional value?

Yes, the cube root of a 24-digit number can be a decimal or fractional value. In fact, most cube roots of large numbers will not be whole numbers and will require decimal or fractional representation.

4. What are some tips for making the process of calculating cube roots of large numbers easier?

One tip is to break the number down into smaller parts, such as prime factors, and find the cube root of each part individually. Another tip is to use a calculator or computer program to assist with the calculations, as they can handle large numbers more efficiently and accurately.

5. Are there any real-life applications for calculating cube roots of 24-digit numbers?

Yes, there are many real-life applications for calculating cube roots of 24-digit numbers. Some examples include calculating the volume of large objects, estimating the growth of populations or investments, and solving complex engineering problems.

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