Judge whether the sum of two irrational numbers is irrational

Judge whether the sum of two irrational numbers is irrational

Wrong. The sum of two irrational numbers is not necessarily irrational.
For example, the sum of (3+2, root 2) and (3--2, root 2) is equal to 6.
Irrational number irrational number rational number;
The sum of (3+2 root 2) and (3-- root 2) is equal to (6+root 2)
Irrational number irrational number irrational number

Wrong. The sum of two irrational numbers is not necessarily irrational.
For example, the sum of (3+2 No.2) and (3--2 No.2) is equal to 6.
Irrational number irrational number rational number;
The sum of (3+2 root 2) and (3-- root 2) is equal to (6+root 2)
Irrational number irrational number irrational number

Wrong. The sum of two irrational numbers is not necessarily irrational.
For example, the sum of (3+2 No.2) and (3--2 No.2) is equal to 6.
Irrational number irrational number rational number;
The sum of (3+2 root 2) and (3-- root 2) is equal to (6+root 2)
Irrational numbers irrational numbers irrational numbers

How do irrational numbers come about

This discovery caused the leaders of the school to panic and anger, believing that it would shake their dominant position in the academic world. He was imprisoned, tortured in every way possible, and finally punished by sinking in a boat. The discovery of the disciples of the Bi revealed for the first time the defects of the rational number system, proving that it can not be treated the same as a continuous infinite straight line. The rational number was not covered with points on the number axis, and there was a "void" on the number axis that could not be represented by rational numbers. And this "void" was proved by later generations to be simply "invincible." The idea that rational numbers were regarded by the ancient Greeks as a continuum of arithmetic was completely destroyed. The discovery of incommensurability, together with the famous Zeno paradox, was called the first crisis in the history of mathematics. It had a far-reaching influence on the development of mathematics for more than 2000 years. It promoted the development of axiomatic geometry and logic from relying on intuition and experience to relying on proof, and gave birth to the idea of calculus. What is the essence of incommensurability? For a long time, there has been a great deal of controversy, and the ratio of two incommensurability has been regarded as an unreasonable number. The famous Italian painter Da Vinci in the 15th century called it "irrational number ", and the German astronomer Kepler in the 17th century called it" indescribable number ". However, the truth can not be drowned after all, and the Beersian school is the "irrational number ". In order to commemorate the honorable scholar who dedicated himself to the truth, people named the incommensurability as" irrational number ", which is the origin of "irrational number ".