Program to find the square root of a number

Author: b-man157

SquareRoot.c

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+/* Program to find the square root of a number
+ * - the current implementation uses the Newton-Raphson method
+ * - mathematical explanation can be found online, and requires basic calculus knowledge
+ */
+
+#include <stdio.h>
+#include <math.h> // for 'fabs' - returns unsigned absolute value
+
+const double MAX_ERROR = 1e-7; // equivalent to 10^-7 -> accurate upto 7 decimal places
+							   // can be set according to need or even taken in as input 
+
+double squareRoot(int x)
+{
+	double r = 1; // initial guess for the root
+	while (fabs(r*r - x) > MAX_ERROR)
+	{
+		r = (r + x/r) / 2; 
+		// value of 'r' moves closer and closer to the actual root value
+	}
+
+	return r;
+}
+
+int main()
+{
+	// the number for which we expect to compute the root
+	int num;
+	scanf("%d", &num);
+
+	printf("%lf \n", squareRoot(num));
+
+	return 0;
+}