The Program in C++ Program to find Square root using Babylonian method is given below:
#include <iostream>
#include <cmath>
using namespace std;
double sqrtBabylonian(double num) {
double x = num;
double y = 1;
double e = 0.000001;
while (x - y > e) {
x = (x + y) / 2;
y = num / x;
}
return x;
}
int main() {
double num;
cout << "Hello Codeauri Family, enter the number here to find the square root of number using Babylonian Method: ";
cin >> num;
cout << "Okay, the Square root (Babylonian method) is : " << sqrtBabylonian(num) << endl;
return 0;
}
Output:
Hello Codeauri Family, enter the number here to find the square root of number using Babylonian Method: 99
Okay, the Square root (Babylonian method) is : 9.94987
Pro-Tips💡
In this program, the sqrtBabylonian function uses the Babylonian method to find the square root of a number.
The method iteratively improves an estimate of the square root by averaging it with the quotient of the number and the estimate,
until the difference between the current estimate and the previous estimate is less than a set threshold (in this case, e = 0.000001).
The main function takes the user input for the number and outputs its square root using the Babylonian method by calling the sqrtBabylonian function.
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