Answered Essay: The Babylonian algorithm to compute the square root of a number n is

C++ Programming Help Please!

NOTE: DO the *Challenging* Version!


Program Info:

The Babylonian algorithm to compute the square root of a number n is as follows:

1. Make a guess at the answer (you can pick n/2 as your initial guess).

2. Compute r = n / guess

3. Set guess = (guess + r) / 2

4. Go back to step 2 for as many iterations as necessary. The more that steps 2 and 3 are repeated, the closer guess will become to the square root of n.

Write a program that inputs a double for n and iterates through the Babylonian algorithm 100 times. For a more challenging version, iterate until guess is within 1% of the previous guess, and outputs the answer as a double.

More Important Info:

Babylonian Algorithm for square root:

Do the Challenging version!!! (I would do the simple version first, then add the challenging loop condition)

This is a math problem:

The challenge is to find the condition that will stop the loop when guess is within 1% of the previous guess. This is not so hard to do on paper. It’s a simple inequality:   | guess – previous_guess | < 1% * previous_guess

You will NOT use absolute value function (if you know what that is)

You will have to convert this expression to a simple boolean expression, removing the absolute value.

Expert Answer


Dear Student,

here i have written the C++ program as per the requirement.I have also inclueded the comment for better understanding.


Note: Please note that the below program has been tested on ubuntu 16.04 system and compiled under g++ compiler. This code will also work on other IDE’s and C++ microsoft visual studio express.




//Header file declration

#include <iostream>


//Namespace declration

using namespace std;

int main()

//variable data type declration

double n, count = 0;

double answer, guess, r;

//input a double number

cout << “Please enter a double number: “;

cin >> n;

//input a guess

cout << “Please enter a ‘guess’ number to divide by double number: “;

cin >> guess;

//assign the guess to a new variable previous_guess
double previous_guess = guess;

double new_guess;

int new_count;

//loop until the guess is less than the 1% of the previous guess


r = n/previous_guess;

new_guess = (previous_guess + r)/2;

//when guess is less than the 1% of the previous guess
//break the loop
if((new_guess – previous_guess) < (previous_guess * 0.01))


new_count = count;

answer = new_guess;



//else execute this condition



r = n/new_guess;

previous_guess = (new_guess + r)/2;


//increment count



//display the count

cout<<“guess is within 1% of the previous guess. in “<< new_count<<” counts”<<endl;

//display the squre root

cout << “The sqaure root of “<< n << ” is ” << answer;

cout << endl;

return 0;

}//end of the main function


here i have attached the output of the program as a screen shot…




Buy Essay
Calculate your paper price
Pages (550 words)
Approximate price: -

Help Me Write My Essay - Reasons:

Best Online Essay Writing Service

We strive to give our customers the best online essay writing experience. We Make sure essays are submitted on time and all the instructions are followed.

Our Writers are Experienced and Professional

Our essay writing service is founded on professional writers who are on stand by to help you any time.

Free Revision Fo all Essays

Sometimes you may require our writers to add on a point to make your essay as customised as possible, we will give you unlimited times to do this. And we will do it for free.

Timely Essay(s)

We understand the frustrations that comes with late essays and our writers are extra careful to not violate this term. Our support team is always engauging our writers to help you have your essay ahead of time.

Customised Essays &100% Confidential

Our Online writing Service has zero torelance for plagiarised papers. We have plagiarism checking tool that generate plagiarism reports just to make sure you are satisfied.

24/7 Customer Support

Our agents are ready to help you around the clock. Please feel free to reach out and enquire about anything.

Try it now!

Calculate the price of your order

Total price:

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.


Let us write that nagging essay.


Submit Your Essay/Homework Instructions

By clicking on the "PLACE ORDER" button, tell us your requires. Be precise for an accurate customised essay. You may also upload any reading materials where applicable.


Pick A & Writer

Our ordering form will provide you with a list of writers and their feedbacks. At step 2, its time select a writer. Our online agents are on stand by to help you just in case.


Editing (OUR PART)

At this stage, our editor will go through your essay and make sure your writer did meet all the instructions.


Receive your Paper

After Editing, your paper will be sent to you via email.

× How can I help you?