JavaScript: Iterated Cube Root

JavaScript Math: Exercise-92 with Solution

Cube Root Reduction Steps

Write a Python program that takes a positive integer and calculates the cube root of the number until it is less than three. Return the number of steps to complete this process.

Test Data:
(27) -> 2
(10000) -> 2
(-100) -> "Not a positive number!"

Sample Solution:

JavaScript Code:

/**
 * Function to calculate the number of iterations required to find the cube root of a number greater than or equal to 3.
 * @param {number} n - The number for which cube root iterations are to be performed.
 * @returns {number|string} - The number of iterations required to find the cube root, or a string indicating that the input is not a positive number.
 */
function test(n) {
    let ctr = 0;
    while (n >= 3) {
        n =  n ** (1./3.);
        ctr = ctr + 1;
    }
    if (n < 0)
        return 'Not a positive number!';
    else 
        return ctr;
} 

// Test cases
console.log("Iterated Cube Root:");
let n = 27;
console.log("n = "+n);
console.log("Number of steps to complete the said process: "+test(n));
n = 10000;
console.log("n = "+n);
console.log("Number of steps to complete the said process: "+test(n));
n = -100;
console.log("n = "+n);
console.log("Number of steps to complete the said process: "+test(n));

Output:

Iterated Cube Root:
n = 27
Number of steps to complete the said process: 2
n = 10000
Number of steps to complete the said process: 2
n = -100
Number of steps to complete the said process: Not a positive number!

Flowchart:

Live Demo:

For more Practice: Solve these Related Problems:

• Write a JavaScript function that repeatedly computes the cube root of a positive integer until the result is less than three, returning the number of steps.
• Write a JavaScript function that uses a while loop to perform cube root reduction and counts the iterations required.
• Write a JavaScript function that recursively computes the cube root reduction steps and returns the total number of recursive calls.
• Write a JavaScript function that validates input as a positive number before performing cube root reduction and step counting.

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