Liu Fuyao was cunning to the end, and said: "This method of proof, my son has written it here in its entirety, but it can be handed over to Director Mu first, and it can also be regarded as a result submission." ”

The compromise method was handed over to Mu Xue, and if she said it, it would be the Wisdom Palace to publicize it to the outside world.

But he never thought about it, Liu Meng waved his hand and said: "It doesn't matter who goes first and who falls, anyway, I won this game, I have to be generous, let me talk about my method first, if you say it first, lest you say any conspiracy theories and shady boring words." ”

"Root 2 is the proof of irrational numbers, which is the simplest problem of this kind, and the conventional idea is to set root 2 as a coprime integer A/B, and then start from A and B to find out the contradictions, and then prove the argument, the difficulty lies in the method of space geometry. ”

Liu Meng said, "At first, I thought that a square could be constructed with A and B as sides, because of the square relationship between the two, so put two squares with B side length in the square with side length A, and the black shadow area in the middle of the two squares on side B is equal to the blank area in the square on side A, which are all squares, which find a group of smaller positive integers A1 and B1, which also satisfy the relationship of 2 times the square, and push down infinitely, and this process is infinite, which proves that root 2 is an irrational number." ”

Liu Meng said as he wrote a demonstration in front of him.

Liu Fuyao and Liu Chong, father and son, immediately changed color when they heard it, and this is the result of what they wrote.

It's incredible.

Liu Meng answered.

All the scholars were shocked when they heard it, this kid won?

But I didn't expect Liu Meng to finish speaking, and continued: "But after all, this method still starts from the relationship between A and B, and it is not a pure spatial geometry method. ”

Mu Xue was fascinated by what she heard, a pair of beautiful eyes kept staring at Liu Meng's every move, and she was impressed by the momentum of pointing at the country.

"Fortunately, it is relatively simple to prove that root 2, if you change the root 3, root 5 and so on, I really can't think of it for a while, starting from the Pythagorean theorem, root 2 can also be regarded as the hypotenuse of an equilateral straight triangle, the definition of irrational number is expressed as the ratio of integers, in space geometry, it can be understood as the common unit of two line segments, so that the length of the two line segments are integer multiples of the common measure, the way to find the common measure is quite intuitive, that is, to continue to subtract the shorter line segment from the longer line segment, until the two line segments are as long, just like finding the greatest common divisor in number theory。 ”

Liu Meng drew a picture.

"Subtract BC from BD and leave a DE ......"

Liu Meng always habitually jumps a period of thinking.

Hearing that the old masters were very worried, encountering exquisite scholarship is still the greatest pursuit of scholars, and I was fascinated for a while, and my brain involuntarily followed the thinking.

An old master couldn't help but ask, it was Chu Qiang, who had the most average talent.

"Make a new small square DEFG with DE as the side, then obviously DE=EF=FC, this is also because the two triangles of BEF and BCF must be congruent, sorry, I forgot to add this auxiliary line, I thought everyone could see it. ”

Liu Meng also humbly answered the confusion.

The old master's face was flushed with embarrassment, but he was still mostly happy to obtain academic knowledge.

"How did this go on indefinitely?" asked the other old master.

As I said earlier, now it's the turn to divide between DE and DF, and they are the sides and diagonals of a new square, the proportions of which are exactly the same as the original BC and BD, so the operation goes back to the original problem again, infinitely recursive. ”

Infinite recursion, which proves that root 2 is an irrational number, is a complete method of space geometry, and the thinking is extremely exquisite.

......

The people who were still waiting in the square couldn't think of what happened in the Palace of Wisdom at all, and they waited anxiously without news coming, all kinds of brain-opening speculations.

"Guys, do you have any questions?"

Liu Meng unconsciously returned to the domineering spirit of a god-level scholar, really academic, he has never been convinced by anyone, on the earth, if he is given sufficient resources to survive to his age, it is not difficult to win the Nobel Prize.

Everyone shook their heads slightly, and figured it out, a particularly wonderful explanation, even more clear and thorough than when Liu Fuyao gave a lecture the year before last.

Bang bang bang.

Mu Xue clapped her hands very hard.

Many people spontaneously followed suit, but seeing the gloomy and terrifying face of Brother Liu Fuyao, they stopped after two slaps, so as not to be hit and vent their anger.

Mu Xue quietly wiped her eyes, this polemic can really be described as a peak circuit, I didn't expect Liu Meng to prove himself again, I really don't know how far he can go, a tenth-level badge, or an eleventh-level badge? Maybe he can reach the legendary twelve-level computing power.

Liu Fuyao's face was as calm as water, but his heart was choppy, and a deep sense of frustration struck, this little beast's explanation just now looked like his Lao Tzu, just like back then, he has been stepped on, and his existence is just a proof that Liu Zhong is not a genius.

Liu Chong's face was even more pale, he couldn't be calm anymore, looking at Liu Meng's eyes, he looked like he was alive, and his self-esteem and self-confidence were seriously frustrated.

Liu Meng not only stated their solution, but also added a purely spatial geometry method.

How could this be possible? How could he know! In just one hour, how could he think of so much, absolutely impossible, I am a quasi-scholar of the tenth level badge, and I shouted unwillingly in my heart.

"Liu Chong, please show your text to everyone for judgment. ”

This is the first type I just mentioned. ”

Liu Chong felt that after saying this, the whole person's backbone was sucked away, "I lost." ”

Liu Furui said in her heart, the eldest brother is really cocooned this time, so many people were invited, if it weren't for this, he would have been punished and split this kid alive, a hundred, so many people, so many pairs of eyes have seen it, but there is really no way.

Hey, the eldest brother is a genius son this time, and this time he can be regarded as planting.

He looked at his eldest brother, but he still couldn't see the joy and sorrow.

Although they are two brothers, Liu Furui has always felt that the eldest brother is unfathomable.

Liu Fuyao suddenly said: "Virtuous nephew, can you take a step to speak." ”

As soon as these words came out, everyone understood what they meant, hey, this is an old face, it's really shameless, I can't afford to lose, it's against the polemic style of scholars like us.

This move was undoubtedly met with a lot of contempt, and the scholars just didn't dare to say it in public.

After all, Liu Fuyao is the most powerful scholar in Bei'an City, and Liu Chong is a tenth-level badge after all.

And Liu Meng, even if he wins the debate, he is still an ordinary quasi-scholar, and it is not certain whether he can successfully worship the stars and become a true scholar, a momentary flash of genius does not mean anything.

"Not interested. To everyone's surprise, Liu Meng refused.