This prodigy's algorithm is comparable to a calculator. In fact, each arithmetic method will have its own unique algorithm. The bigger the number, the more regular it is. Generally, the numbers given are regular, just like infinite acyclic ones will never appear. There are certain algorithms for the square root and multiple square of a number, which will be very simple to use. For example, we will learn to decompose common factors in high school. A very complicated equation is decomposed into two brackets, and it is found that this problem is particularly simple and can be seen with the eyes. So does this particularly large number also have its corresponding algorithm, but it is really not used in our daily life, so we have never learned this in our study and life.
The power of 13 of the first question six is difficult at first glance, but if you think about it carefully, isn't it the multiplication of 13 six? It's not easy. You can easily get the answer, break it down and then combine it. Then the second problem is the root number, which is really difficult at first glance, but if this problem can be solved, it means it is a problem of numbers, so the numbers must be integers. By using the method of exclusion, the approximate interval between this number and single digits can be determined, and then it can be easily calculated. The third question is a mixture of the second question and the first question, but the amount of calculation has increased a little. As long as one is good at thinking and has really learned these things, it is not difficult to work them out, but it is not as fast as a child prodigy. ?
So as long as you study hard, learn math and calculus, one day you will be able to work out difficult numbers as accurately and quickly as these prodigies.