# Cube root long division method

• xzibition8612
In summary, the Cube Root Long Division Method is a mathematical technique used to find the cube root of a number by dividing it into smaller parts and finding the cube root of each part. It works by dividing the number into groups of three digits and combining the cube roots of each group. This method should be used when the number cannot be simplified easily and when a calculator or other computing tools are not available. The advantages of using this method include its ability to find the cube root of any number and its convenience, while its limitations include its time-consuming nature, requirement of a good understanding of long division and basic arithmetic, and potential for less accuracy compared to advanced methods.
xzibition8612
Homework Statement
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Relevant Equations
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On the right paragraph it says "The trial divisor 1200 goes into the dividend 13952, 8 times"

Clearly 1200 goes into 13952, 11 times. I don't understand why 8 is (arbitrarily?) chosen. Please help. Thanks.

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That all looks very weird to me. I don't see how that image you posted would help get to the answer of 24.<something> Where is that from ?

xzibition8612 said:
On the right paragraph it says "The trial divisor 1200 goes into the dividend 13952, 8 times"
The text appears to be incorrect. The actual trial divisor being used is 1744, which goes into 13952 8 times.

## 1. What is the cube root long division method?

The cube root long division method is a mathematical process used to find the cube root of a number. It involves dividing the number into smaller parts and finding the cube root of each part until the final answer is obtained.

## 2. How does the cube root long division method work?

The cube root long division method works by first dividing the given number into groups of three digits, starting from the right. Then, the largest possible number whose cube is less than or equal to the first group of digits is found and placed on top of the division symbol. The cube of this number is then subtracted from the first group of digits, and the process is repeated for the next group of digits until the final answer is obtained.

## 3. When is the cube root long division method used?

The cube root long division method is typically used when finding the cube root of large numbers that cannot be easily calculated mentally or by using other methods such as prime factorization.

## 4. What are the advantages of using the cube root long division method?

One advantage of using the cube root long division method is that it is a systematic and straightforward process that can be easily followed even for large numbers. Another advantage is that it does not require any prior knowledge of the cube root table or memorization of any formulas.

## 5. Are there any limitations to the cube root long division method?

One limitation of the cube root long division method is that it can be time-consuming for very large numbers. Additionally, this method may not work for numbers with repeating decimals in their cube root, as the process relies on finding exact cube roots.

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