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Cube Root Basics
Cube root is the inverse operation of cubing a number. It is the number that, when multiplied by itself three times, equals the original number. The cube root of a number can be found using a calculator, or by hand using the long division method.
How to Find a Cube Root?
The cube root of a number is a number that, when multiplied by itself three times, equals the original number. To find the cube root of a number, use a calculator to find the cube root of the number. If you do not have a calculator, you can use the following steps to find the cube root of a number.
To find the cube root of a number without a calculator, first write the number as a product of its prime factors. In other words, write the number as a list of numbers that are multiplied together.
For example, the cube root of 64 can be written as the following:
64 = 2 x 2 x 2 x 2 x 2 x 2
The cube root of a number can also be found by using the following steps:
1. Write the number as a product of its prime factors.
2. Write the number as a list of numbers that are multiplied together.
3. Write the number in exponential form.
4. Take the third root of the number.
5. Write the answer in standard form.
Cubes and Cube Roots of the First 20 Natural Numbers
The first 20 natural numbers are as follows:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.
The cube of a number is the result of multiplying the number by itself three times. For example, the cube of 8 is 8 x 8 x 8 = 512.
The cube root of a number is the number that, when multiplied by itself three times, equals the original number. For example, the cube root of 512 is 8.
How to Find a Cube Root by the Prime Factorization Method?
The prime factorization method of finding a cube root is a three-step process. First, find the prime factors of the number. Second, write the prime factors in order from smallest to largest. Third, use the cube root function on the largest prime factor.
For example, to find the cube root of 125, the prime factorization is 2 x 5 x 5. The cube root of 125 is 5.
How to Find the Cube Root by Estimation Method?
To find the cube root of a number by estimation, divide the number by 3 and take the nearest whole number.
