Cube Root

At times when a number y is multiplied 3 times, then the value that is obtained is called the cube of that given number. Hence, a cube for a particular given number (a) is becoming a3 or a cubed. For instance, If take the number 5. Then it is a well-known fact that 7 *7 * 7 = 343. For this particular reason, 343 is called the 7 – cubed or cube of 7. Contrary to this, the cube root of a number is defined as the reverse method of the cube of a given number. The cube root of a given number is specifically denoted by 3√, followed by the number.

Definition of Cube root

If we carefully assess the word root as well as a cube, the preliminary pictures that come to mind are the roots of a large tree as well the shape cube in literal meanings such as the dice. In mathematics, the idea is quite similar. In essence, root refers to the origin or primary source. So while calculating cube root we are only required to think of which number needs to be taken to obtain the given number. Specifically in mathematics, the cube root is defined as the number that must be multiplied 3 times to obtain the original number.

Calculating cube root

The process of calculating cube root is quite easy. A given number’s cube root can be calculated through the use of the method of prime factorization. To calculate a given number an individual needs, to begin with, the method of prime factorization. After that, the division of the factors should be done in particular groups that contain the 3 same factors. Next, the symbol of the cube root should be removed and the factors need to be multiplied to get the solution. If some factors are left behind which the student cannot divide equally into three groups, then it means that the provided number is not specifically a perfect cube. This means it cannot properly calculate the given number’s cube root.

Cube root Equation

The formula of cube root, also referred to as the cube root equation, helps in computing the cube root of any specific given number. This is expressed rather through the use of the symbol 3√. The calculation of the value can be done by calculating the given number’s prime factorization and after that application of the cube root equation. If we take as any number such that s = a * a * a. Then the cube root equation is given as Cube root of s = 3√s = 3√(a * a * a) = s, where a is given by the cube root of any particularly given number s. This also refers to the fact that ‘s’ would be referred to as a perfect cube if the value of ‘a’ is an integer in nature. There are many areas where the cube root equation can be effectively applied.

• Compute the dimension of the particular cube if its volume has been provided
• Solve a particular cubic equation
• Work towards providing a far more precise dimension for the apartment

Cube root of different numbers

In mathematics, many instances may arise where the calculation of the cube root of a number becomes necessary. In these times an individual should properly use the cube root equation to calculate the cube root. In the following section, some examples depicting the calculation of cube root have been provided. Example 1: Calculate the cube root of 117649. Solution: The number 117643 can be written as 117649 = 7 * 7 * 7 * 7 * 7 * 7 Hence the cube root value is 3√117649 = 3√7 * 7 * 7 * 7 * 7 * 7 = 7 * 7 = 49. Example 2: Find the value of cube root for the number 512. Solution The number 512 can be written as 512 = 2 * 2* 2 * 2* 2 * 2 * 2 * 2 * 2 Hence the cube root value of cube root value is 3√512 = 3√2 * 2* 2 * 2* 2 * 2 * 2 * 2 * 2 = 2 * 2 * 2 = 8.

Conclusion

The overall article has been written on the main topic of cube root which is an important topic in quantitative aptitude. Under this main topic several subtopics namely Cube root definition, calculating cube root, cube root equation, and cube root of different numbers have been used.