Cube Root Of 53

The cube root of 53 is the number which, when multiplied three times, we get a number that is equal to 53. Let’s explore some steps and methods to calculate the cube root of 53.

The cube root of 53: ∛53= 3.75

The exponential form of the cube root of 53: 53^1/3

The radical form of the cube root of 53: ∛53
 

To find the cube root of 53, we use the following methods

:

• Prime factorization
• Approximation method
• Long division 
• Subtraction method
• Halley’s method is used for those numbers which are not perfect cubes.

We use the below formula to find the cube root using Halley’s Method;

∛a ≅ x ((x³ + 2a) / (2x³ + a))

In the formula; 

a = given number, 53

x = an approximate number close to the cube root of the number, 53:  3³= 27

Let’s apply the formula and find the Cube Root:

A = 53, for the approximate method we choose, x = 3, it is the nearest cube (3³= 27). 

Now apply the formula; 

∛a ≅ x((x³+2a) / (2x³+a))

∛53 ≅ 3((3³+2 × 53) / (2 × 3³+53)) = 3.75

Hence, the approximate cube of 53 ≅ 3.75

• Whole numbers — The whole numbers are the set of numbers that consists of natural numbers and zero.  Example: 0,1,2,3………..

• Square root  —A number’s square root is considered a number that when it is multiplied by itself results in the same number.Example: √4 is 2.

• Exponent: It is a number which represents how many times a base number should be multiplied.Example: 4² =4 × 4 = 16

• Irrational number: The number that cannot be expressed in the form of fraction.Example: √2 is an irrational number.