// yukicoder: No.456 Millions of Submits!
// 2019.7.29 bal4u

#include <stdio.h>
#include <math.h>

#if 1
#define gc() getchar_unlocked()
#else
#define gc() getchar()
#endif

int in() {   // 非負整数の入力
	int n = 0, c = gc();
	do n = 10 * n + (c & 0xf); while ((c = gc()) >= '0');
	return n;
}

double getdbl() {   // 正実数の入力
	double x, y;
	int n = 0, c = gc();
	do n = 10*n + (c & 0xf), c = gc(); while (c >= '0');
	if (c == '.') {
		x = 0, y = 1, c = gc();
		do y *= 0.1, x += y * (c & 0xf), c = gc(); while (c >= '0');
		x += n;
	} else x = n;
	return x;
}

#define EPS 1e-10
int a, b; double t;
double logt, logn;
double f(double n) { logn = log(n); return a*logn + b*log(logn) - logt; }
double d(double n) { return (a + b/logn)/n; }

int main()
{
	int m; double ans, n, fn;

	m = in(); while (m--) {
		a = in(), b = in(), t = getdbl();
		if (a == 0) ans = exp(pow(t, 1.0/b));
		else if (b == 0) ans = pow(t, 1.0/a);
		else {
			logt = log(t), n = 3.0;
			while (fabs(fn = f(n)) > EPS) {
				n -= fn/d(n);
				while (n <= 1.0) n += 0.2;
			}
			ans = n;
		}
		printf("%.10lf\n", ans);
	}
	return 0;
}