homework.cpp

#include <iostream>

int main() {
    while (true) {
        int outsideRoot;
        int insideRoot;
        int d = 2;

        std::cout << "input outside root (if none, input 1)\n";
        std::cin >> outsideRoot;
        std::cout << "input inside root\n";
        std::cin >> insideRoot;

        while (d * d <= insideRoot) {
            if (insideRoot % (d * d) == 0) {
                insideRoot = insideRoot / (d * d);
                outsideRoot = outsideRoot * d;
            } else {
                d = d + 1;
            }
        }
        std::cout << "the answer is: " << outsideRoot << "√" << insideRoot << "\n";
        std::cout << "------------------------\n";
    }
}