How to Calculate the Cube Root in R?

Efficiently find cube roots in R with this comprehensive recipe guide by ProjectPro!

Recipe Objective - How to Find the Cube root in R? 

Ever wondered how to find the cube root in R? Understanding how to calculate the cube root in R goes beyond mere arithmetic; it unveils the applications and functionalities that can significantly enhance your data analysis and modeling tasks. Explore this recipe to delve into the step-by-step process of computing the cubic root in R, providing a potent toolkit for data scientists, statisticians, and programmers eager to amplify their capabilities.

There is no built-in function to specifically calculate the r cubic root of a number. But there are several different ways in which you can do this.

  1. Using the exponential arithmetic operator while defining a function;

  2. Using nthroot() function in pracma package with n =3

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Step 1: Creating a numeric variable

The first step involves assigning a number to a variable 'a' whose cube root needs to be calculated. 

a = -64

Step 2: Calculating Cuberoot in R

There are several ways to calculate the cubic root in R. Let’s explore each of them below: 

  1. Defining a function using an exponential arithmetic operator 

We use the arithmetic operator " ^ " and define a function 'cube root' to carry out this task. This defined function will deal with both positive and negative numeric variables.

# defining a function cuberoot in R that can accept an argument 'x'

cuberoot = function(x){

    if(x < 0)

    { - (-x)^(1/3)}

    else

    {x^(1/3)}

    }

# calling the function and giving a as an arguement

cuberoot(a)

-4

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  1. Using nthroot() function with n = 3

We use the built-in function nthroot() with n=3 to calculate the cube root of a numeric variable. nthroot() in R is a function present in "pracma" package.

Syntax: nthroot(x,n) 

Where:

  1. 'x' is a numeric vector

  2. n' is a positive integer specifying the exponent (1/n)

# installing the pracma package first

install.packages("pracma")

#calling and exceuting nthroot function on 'a'

pracma::nthroot(a, 3)

-4

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  1. Using the ‘sqrt’ Function 

The sqrt function in R can also be utilized to find the cube root. By taking the square root twice, we essentially obtain the cube root:

# Using the sqrt function

result <- sqrt(sqrt(8))

print(result)

  1. Using the ‘exp’ and ‘log’ Functions 

Another approach involves using the exp and log functions. We can calculate the cube root of a number x using the formula: 

cubeRoot(x)=exp(1/3​⋅log(x))

# Using exp and log functions

result <- exp(1/3 * log(8))

print(result)

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Finding the cube root in R can be achieved through various methods, ranging from basic operators to specialized functions in specific packages. Having a good understanding of these techniques will empower you to handle cube root calculations efficiently in your R programming endeavors. One effective way to equip yourself with these skills is through practical experience. ProjectPro stands out as a comprehensive platform offering over 270+ projects in data science and big data – a perfect resource to apply and reinforce your newfound knowledge in practical, hands-on scenarios. Dive into ProjectPro and elevate your R programming skills through real-world experiences.

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