#include <bits/stdc++.h>

using namespace std;

int A, B;
double T;

double F(double N)
{
  return (pow(N, A) * pow(log(N), B) < T);
}

int main()
{
  int M;
  scanf("%d", &M);
  while(M--) {
    scanf("%d %d %lf", &A, &B, &T);
    double low = 0, high = 1e5;
    for(int i = 0; i < 50; i++) {
      double mid = (low + high) * 0.5;
      if(F(mid)) low = mid;
      else high = mid;
    }
    printf("%.12lf\n", low);
  }
}