Cube root of any number can be found with a very simple method which is considered to be the prime factorisation method. The cube root will be denoted by a specific symbol and for example, 8 is the perfect cube number which means that it is very easy to find out the cube root of it which comes in the form of 2×2×2.

Finding the cube root of the non-perfect cube number is a little complex activity but still, if the individuals move with proper planning and practice then they can master this particular concept very easily. To find out the cube root of any number the individuals need to find a number that has been multiplied three times by the number itself so that it will give the original number.

The cube root is the inverse process of calculating the cube of the number and to find out the cube root of for example number 27 one needs to find out that particular multiple that will be multiplied thrice so that answer comes out to be 27. The very simple answer to this is the number three. 3×3×3 will be 27 and hence the cube root of 27 is number three.

The cube root of the number two is not very easy to find because two is not a perfect cube number. So, with the help of the long division method, it is very much possible to create the cube roots for non-perfect cube numbers and the approximate value, in this case, will come out to be 1.260. On the other hand, one can also depend upon the estimates and then it will come out to be one into two and then the approximate value will be 1.333.

In the case of four which is again not a perfect cube root and square root when the individuals will factorise it and will come out to be 2×2×1 and simple factorisation cannot be applied over here. So, the approximate value, in this case, will be 1.67. It is very much advisable for the students to learn the cube roots of at least the first 50 numbers so that there is no issue in the examination and they can implement the things perfectly.

## The methods of finding the cube root or explained as follows:

• The first method is the prime factorisation method which is very much simple as explained above in the case of 27 and 8.
• The second method is the long division method in which the students have to go with the option of finding out the manual square and for this purpose; they have to make a pair of three-digit numbers from back to front. The next step will be to find out whose cube root will be less than or equal to that particular number and after this they have to subtract the obtained number from the given number and write it down in the second number. After this step, it is very much important to find the multiplication factor for the further process in the long division method that will come with the multiplication of the first number obtained. Similarly continuing the above-mentioned process the cube root of the number can be easily found in this particular process can be used when any given number is not a perfect cube number. No doubt this process takes a lot of time but still, it will come with the most accurate answers without any kind of issue. The only thing which the students need to pay attention to is the practice aspect in this whole process so that they can become masters of the cube root very easily.

Apart from this students can also enroll themselves on the platforms like Cuemath so that they are very much successful in terms of learning the chapters and topics of cube root, square root , and several other kinds of related things perfectly from the house of best experts in the industry.