Question

древнегреческий математик который доказал что корени из 2 не является рациональным.

Answer 1

Это был Эратосфен. Он доказал, что √ 2 не является рациональным числом.

Answer 2

Ancient Greek Mathematician Who Proved the Irrationality of the Square Root of 2

The ancient Greek mathematician who proved that the square root of 2 is irrational was Hippasus of Metapontum.

Hippasus of Metapontum is credited with the discovery that the square root of 2 is an irrational number. This discovery is said to have been a profound shock to the Pythagoreans, who were proponents of the idea that all numbers could be expressed as the ratio of integers, or as the ratio of whole numbers. Hippasus's proof of the irrationality of the square root of 2 is considered a significant milestone in the history of mathematics.

Hippasus of Metapontum's Contribution

Hippasus of Metapontum was a member of the Pythagorean school, and his proof of the irrationality of the square root of 2 is believed to have led to his expulsion from the school. The discovery is said to have challenged the Pythagorean belief in the rationality of all numbers and is considered a pivotal moment in the development of mathematical thought.

Hippasus's proof is often cited as one of the earliest known proofs of the existence of irrational numbers and is a significant contribution to the field of mathematics.

In summary, Hippasus of Metapontum was the ancient Greek mathematician who proved that the square root of 2 is irrational, and his discovery had a profound impact on the development of mathematical thought.