Newton Method for Square Root

#include
#include
#include
int main()
{
const double SMALLFRACTION = 1.0E-8;
double x;
double r;
cout << "Enter number : ";
cin >> x;
r = x / 2.0;
while(fabs(x - r*r) > SMALLFRACTION*x)
{
cout << r << endl;
r = 0.5 *(x / r + r);
}
cout << "Number was : " << x << ", root is "
<< r << endl;
return EXIT_SUCCESS;
}

Guess Quotient Average
1 2/1 (2+1)/2 = 1.5
1.5 2/1.5 =1.33 (1.33+1.5)/2 = 1.4167
1.4167 2/1/4167= 1.4118 (1.4167+1.41118)/2 = 1.4142