Cube root algorithm

#include <stdio.h>
#include <stdlib.h>


void main()
{
    double radicand, start, quotient, next_value, precision, result;

    int max;



    system("clear");

    printf("Radicand: ");

    scanf("%lf", &radicand);


    if(radicand > 10000000){

        printf("This radicand is too big!\n");
    }

    else{

    system("clear");

    start = radicand / ((radicand + 1) / 4);

    quotient = radicand / (start * start);

    next_value = ((quotient + 2 * start) / 3);


    if(radicand <= 10){

        max = 5;
    }

    else if(radicand > 10){

        max = 25;
    }

    else if(radicand > 100){

        max = 100;
    }

        for(precision = 1; precision <= max; precision++){

            system("clear");

            result = radicand / (next_value * next_value);

            next_value = ((result + 2 * next_value) / 3);

            if(precision == max){

                printf("Cube root oot of %.5lf is %.5lf\n", radicand, next_value);
            }
        }
    }
}