# Square Root in R: How to Calculate Square Root of in R

The R sqrt() is an inbuilt Math function used to calculate the square root for an individual number or an expression.

## Square root in R

To find the square root in R, use the sqrt() function. The sqrt() method in R calculates the square root of a numerical object.

### Syntax

``````sqrt(n)
``````

### Parameters

The sqrt() function accepts only one parameter, which takes as a number.

### Return Value

It returns the square root of the input.

### Example

``````num <- 16
cat("The square root of 16 is: ", sqrt(num))``````

#### Output

``The square root of 16 is: 4``

## Applying sqrt() function to Vector in R

To find the square root of Vector in R, use the sqrt() function. The sqrt() function takes a Vector as an argument and returns each element’s square root.

``````rv <- c(11, 19, 21, 16, 49, 46)
rv_sqrt <- sqrt(rv)
print(rv_sqrt)``````

#### Output

``[1] 3.316625 4.358899 4.582576 4.000000 7.000000 6.782330``

You can see that it returns the square root of every element of the vector.

## Applying sqrt() function to Matrix in R

To find the square root of Matrix in R, use the sqrt() function. The sqrt() function takes Matrix as an argument and returns the square root of each element.

``````rv <- c(11, 19, 21, 16, 49, 46)
mtrx <- matrix(rv, nrow = 2, ncol = 3)
print(mtrx)
cat("After calculating square root of matrx", "\n")
mt_sqrt <- sqrt(mtrx)
print(mt_sqrt)``````

#### Output

``````     [,1] [,2] [,3]
[1,]  11   21   49
[2,]  19   16   46
After calculating square root of matrx
[,1]     [,2]      [,3]
[1,] 3.316625  4.582576  7.00000
[2,] 4.358899  4.000000  6.78233``````

## Applying sqrt() function to List in R

We can not find the square root of the List in R, and if we try to find it, then it will give us the following error.

non-numeric argument to mathematical function

See the following code.

``````litt <- list(11, 19, 21, 16, 49, 46)
print(litt)
cat("After calculating square root of list", "\n")
list_sqrt <- sqrt(litt)
print(list_sqrt)``````

#### Output

``````After calculating square root of list
Error in sqrt(litt) : non-numeric argument to mathematical function
Execution halted``````

This error occurs when we are trying to find the square root of a non-numeric value. The list and character string contain non-numeric values, and that is why it returns a non-numeric argument to mathematical function error.

## How to calculate the square root of Factor in R

We can get the error with Factor as well. But that error is different than the above.

``````fact <- factor(10)
sqrt(fact)``````

#### Output

``````Error in Math.factor(fact) : ‘sqrt’ not meaningful for factors
Execution halted``````

To calculate the square root of the factor and resolve the error, use as.numeric() and as.character() with sqrt() method.

``````fact <- factor(10)
print("The factor is: ")
print(fact)
sqrt_fact <- sqrt(as.numeric(as.character(fact)))
print("The square root of factor is: ", sqrt_fact)
print(sqrt_fact)``````

#### Output

``````[1] "The factor is: "
[1] 10
Levels: 10
[1] "The square root of factor is: "
[1] 3.162278``````

You can see that now we get the square root of factor 10, which is 3.162278

## Conclusion

R Language provides mathematical function sqrt() that calculates the square root of numerical objects. It won’t work on the list or character string data type.

Categories R