Question

Question: Define a class to find the third root of your B[15].

Please write this in programming C or C++ language and please explain what we are doing in each step.

Answer 1

Please find the code below:

#include <iostream>
#include <string>
using namespace std;

class ThirdRoot{
public:

   // Returns the absolute value of n-mid*mid*mid
   double diff(double n,double mid)
   {
       if (n > (mid*mid*mid))
           return (n-(mid*mid*mid));
       else
           return ((mid*mid*mid) - n);
   }

   // Returns cube root of a no n
   double findThirdRoot(double n)
   {
       // Set start and end for binary search
       double start = 0, end = n;

       // Set precision
       double e = 0.0000001;

       while (true)
       {
           double mid = (start + end)/2;
           double error = diff(n, mid);

           // If error is less than e then mid is
           // our answer so return mid
           if (error <= e)
               return mid;

           // If mid*mid*mid is greater than n set
           // end = mid
           if ((mid*mid*mid) > n)
               end = mid;

           // If mid*mid*mid is less than n set
           // start = mid
           else
               start = mid;
       }
   }
};

int main(){
   cout<<"Enter the number : ";
   double num;
   cin>>num;
   ThirdRoot rootFinder;
   cout<<"Third root of number "<<num<<" is : "<<rootFinder.findThirdRoot(num);
   return 0;
}

output: