program to find the square root of a number without using sqrt is :::
#include <iostream.h>
#include <math.h>
int main()
{
const float tol = 0.000005; // relative error tolerance
float value;
float oldval, newval;
cout << "Square root of a number"
<< endl << endl;
cout << "Enter a positive number: ";
cin >> value;
if (value < 0.0)
cout << "Cannot find square root of negative number"
<< endl;
else
if (value == 0.0)
cout << "square root of "
<< value
<< " is 0.0"
<< endl;
else
{
oldval = value; // take value as first approximation
newval = (oldval + value/oldval)/2;
while (fabs((newval-oldval)/newval) > tol)
{
oldval = newval;
newval = (oldval + value/oldval)/2;
}
cout << "square root of "
<< value
<< " is " << newval
<< endl;
}
return 0;
}
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