Proving √2 as an irrational number.

Описание: Hello students .
Here in this video , I have explained divisibility, a theorem and proof of root 2 as an irrational number.


Proving That the Square Root of 2 is an Irrational Number

Description:

In this video, we will prove that the square root of 2 is an irrational number. We will start by defining what it means to be a rational and an irrational number. Then, we will assume that the square root of 2 is a rational number and show that this leads to a contradiction.

To do this, we will use a proof by contradiction, which is a common technique used in mathematics to show that a statement is false. We will assume that the square root of 2 can be expressed as a fraction of two integers and use this assumption to derive a contradiction.

Throughout the video, we will explain each step of the proof in detail, using clear and concise language to make it easy for viewers to follow along. We will also provide visual aids and examples to help illustrate the concepts and make the proof more accessible.

By the end of the video, viewers will have a clear understanding of why the square root of 2 is an irrational number and will have learned a valuable technique for proving irrationality in other cases. Whether you're a student of mathematics or simply interested in the topic, this video is a must-watch for anyone who wants to deepen their understanding of the fundamental concepts of number theory.