#include <iostream>
using namespace std;
/*
    Code snippet to find the approximate square root of a number using Newton-Raphson Method.
    let x be the square root, => x = √input
    => x^2 - input = 0
    =>By NR Method , we have x-[(x^2-input)/2x]
*/
int main()
{
    float inNumber;
    float threshold = 0.01f; //minimum error tolerance threshold for the square root
    cout << "Enter a number to find its square root : " << endl;
    cin >> inNumber;
    if(inNumber < 0) inNumber *= -1;//handle negative inputs
    float sqrtGuess = inNumber/2;
    while(sqrtGuess*sqrtGuess - inNumber >= threshold)
    {
       sqrtGuess = sqrtGuess - (((sqrtGuess*sqrtGuess)-inNumber)/(2*sqrtGuess));
    }
    cout << "The square root of "<< inNumber << " is approximately : "<<sqrtGuess<<endl;
    return 0;
}