Finding a cube root of a number without using calculator .

In summary, the conversation involved a discussion about finding a cube root without using a calculator. The participants shared their experiences with finding square roots without a calculator and asked for help in finding a method for cube roots. They were directed to a link that provided a numerical recipe for calculating cube roots using a recursive method. One participant also shared their experience with learning how to calculate square roots before calculators were invented.
  • #1
Emmanuel_Euler
142
11
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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  • #2
finding a square root without using calculator.
 
  • #3
Try this link: http://www.mathpath.org/Algor/cuberoot/algor.cube.root.htm

You might find it interesting that when I was in the 8th or 9th grade, we were taught how to calculate square roots by the method shown in the video you posted. That was before calculators were invented...
 
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  • #4
A numerical recipe for calculating [itex] \sqrt[3]{a}[/itex]. Set [itex] x_{1}=\frac{a}{3}[/itex] and recursively calculate [itex]x_{n+1}=\frac{1}{3}(2x_{n}+\frac{a}{x_{n}^{2}}) [/itex]. Stop when |xn+1 - xn| is "small enough".
 
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  • #5
Thank you so much for help.
 

What is a cube root?

A cube root is a number that when multiplied by itself three times, results in the original number.

Why would someone want to find a cube root without using a calculator?

Finding a cube root without a calculator can improve mathematical skills and critical thinking abilities. It can also be useful in situations where a calculator is not available.

How can I find a cube root without using a calculator?

One method is to use prime factorization. Write the number as a product of prime factors, then group the factors in threes. The cube root is the product of the factors in each group.

What are some other methods for finding a cube root without using a calculator?

Other methods include using estimation and approximation techniques, such as the Babylonian method or the Newton-Raphson method. These methods involve repeatedly guessing and refining the answer until it is close enough to the actual cube root.

Are there any tips for finding a cube root without a calculator?

Yes, it can be helpful to have a chart of cube numbers memorized, as well as knowing the cube roots of common numbers. Also, breaking down the number into smaller factors can make the process easier.

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