KöMaL 2014 K425

We have two machines that transform numbers. If a positive number is fed in such a machine, the output will also be a positive number. Furthermore, the output only depends on the input, that is, if the same number is fed to the same machine again, then the result will also be the same. Our two machines are $A$ and $B$ . If a number is fed in machine $A$ , and the output is used as input for machine $B$ , then the result will be the square root of the original number. If, on the other hand, a number is fed to machine $B$ first, and that output is fed to $A$ , then the result will be the square of the original number. If the number 12 is fed to machine $A$ , the output will be 25. What will be the output of machine $A$ if it is fed the number 144?