#include<stdio.h>
#include<math.h>
#define X 25000

int main(void){
	int i,j,n,a,b;
	double min,max,c,t,ax,bx;
	scanf("%d",&n);
	for(i = 1;i <= n;i++){
		scanf("%d%d%lf",&a,&b,&t);
		min = 0;max = X;
		for(j = 1;j <= 50;j++){
			c = (min+max)/2;
			ax = pow(c,a);
			bx = pow(log(c),b);
			if(ax*bx < t){min = c;}
			else{max = c;}
		}
		printf("%.12lf\n",(max+min)/2);
	}
	return 0;
}