root 2 is rational or irrational - Axtarish в Google
The decimal expansion of √2 is infinite because it is non-terminating and non-repeating. Any number that has a non-terminating and non-repeating decimal expansion is always an irrational number. So, √2 is an irrational number .
Proof of 2 is an irrational numbers. Assume, 2 is a rational number, it can be written as p q , in which p and q are co-prime integers and q ≠ 0 ,.
Продолжительность: 7:47
Опубликовано: 19 июл. 2019 г.
Let us assume on the contrary that √2 is a rational number. Then, there exist positive integers a and b such that √2=ab where, a and b, are co-prime i.e. ...
15 окт. 2017 г. · The square root of 2 cannot be expressed as the quotient of two integers, and therefore is called an irrational number.
Pythagoreans discovered that the diagonal of a square is incommensurable with its side, or in modern language, that the square root of two is irrational. Decimal value · Proofs of irrationality · Representations
15 авг. 2021 г. · To put it another way, irrational numbers cannot be expressed as a ratio of two integers.
Here you can read a step-by-step proof with simple explanations for the fact that the square root of 2 is an irrational number.
Продолжительность: 4:02
Опубликовано: 15 окт. 2017 г.
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