This method is for finding cube root of a proper cube.
1. First Prime factorized the number. for example we will undertake to find the cube root of 2744.
Therefore,
In terms of product of prime numbers the number 2744 can be written as
2744 = 2 x 2 x 2 x 7 x 7 x 7
Now, try to make triplet of all prime number
i.e. 2744 = 2 x 2 x 2 x7 x 7x 7
Every prime number in the product has come thrice and no number in the product is left behind. Therefore, 2744 has a proper cube root and we can get the cube root by writing a single prime number for a group of 3
i.e. = 2 x 7 = 14
Therefore, 14 is the cube root of 2744.
If however, some prime number does not repeat itself thrice in the product then a proper cube root would not exist for such a number.
1. First Prime factorized the number. for example we will undertake to find the cube root of 2744.
In terms of product of prime numbers the number 2744 can be written as
2744 = 2 x 2 x 2 x 7 x 7 x 7
Now, try to make triplet of all prime number
i.e. 2744 = 2 x 2 x 2 x7 x 7x 7
Every prime number in the product has come thrice and no number in the product is left behind. Therefore, 2744 has a proper cube root and we can get the cube root by writing a single prime number for a group of 3
i.e. = 2 x 7 = 14
Therefore, 14 is the cube root of 2744.
If however, some prime number does not repeat itself thrice in the product then a proper cube root would not exist for such a number.
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