Question

prove that under root 2 is an ir rational number​

Answer 1

Here is where mathematical proof comes in. The proof that √2 is indeed irrational is usually found in college level math texts, but it isn't that difficult to follow. It does not rely on computers at all, but instead is a "proof by contradiction": if √2 WERE a rational number, we'd get a contradiction. I encourage all high school students to study this proof since it illustrates so well a typical proof in mathematics and is not hard to follow.

A proof that the square root of 2 is irrational

Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero.

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