#include<bits/stdc++.h>
using namespace std;
#define rep(i,n) for(ll i=0;i<n;i++)
#define repl(i,l,r) for(ll i=(l);i<(r);i++)
#define per(i,n) for(ll i=(n)-1;i>=0;i--)
#define perl(i,r,l) for(ll i=r-1;i>=l;i--)
#define fi first
#define se second
#define ins insert
#define pqueue(x) priority_queue<x,vector<x>,greater<x>>
#define all(x) (x).begin(),(x).end()
#define CST(x) cout<<fixed<<setprecision(x)
#define rev(x) reverse(x);
using ll=long long;
using vl=vector<ll>;
using vvl=vector<vector<ll>>;
using pl=pair<ll,ll>;
using vpl=vector<pl>;
using vvpl=vector<vpl>;
const ll MOD=1000000007;
const ll MOD9=998244353;
const int inf=1e9+10;
const ll INF=4e18;
const ll dy[8]={1,0,-1,0,1,1,-1,-1};
const ll dx[8]={0,1,0,-1,1,-1,1,-1};
template <typename T> inline bool chmax(T &a, T b) {
  return ((a < b) ? (a = b, true) : (false));
}
template <typename T> inline bool chmin(T &a, T b) {
  return ((a > b) ? (a = b, true) : (false));
}
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
int main(){
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  ll m;cin >> m;
  using ld=double;
  CST(10);
  random_device rnd;mt19937 mt(rnd());     
  uniform_int_distribution<> rand1(0,10),rand2(1000,100000);
  while(m--){
    ll a,b;cin >> a >> b;
    ld t;cin >> t;
    if(t>=1){
      ld ok=30000,ng=1;
      rep(i,40){
        ld mid=sqrt(ok*ng);
        if(pow(mid,a)*pow(log(mid),b)>=t)ok=mid;
        else ng=mid;
      }
      cout << ok << endl;
    }
    else{
      ld ok=1,ng=0;
      rep(i,40){
        ld mid=(ok+ng)/2;
        if(pow(mid,a)*pow(log(mid),b)>=t)ok=mid;
        else ng=mid;
      }
      cout << ok << endl;
    }
  }
}