#include <bits/stdc++.h>
using namespace std;
int main(){
    int m;
    cin>>m;
    double a,b,t;
    double ipsilon=pow(10,-10);
    double upper,lower,middle;
    for(int i=0;i<m;i++){
        cin>>a>>b>>t;
        if(b==0){
            lower=0.1;
        }else{
            lower=1;
        }
        if(a==0){
            upper=pow(3,10);
            t=pow(t,1.0/b);
            b=1;
        }else{
            upper=10;
        }
        while(upper-lower>ipsilon){
            middle=(upper+lower)/2;
            if(pow(middle,a)*pow(log(middle),b)<t){
                lower=middle;
            }else{
                upper=middle;
            }
        }
        printf("%.12f",middle);
        cout<<endl;
    }
}