Question

prove that square root 2 is an irrational number
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Answer 1

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. We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction.Hope it. helps....... you...

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Answer 2

Answer:

from i and ii we obtain that 2 is a common factor of a and b. but this contradicts the fact that a and b have no common factors other than 1.

so our supposition is wrong therefore

$\sqrt{2}$

is irrational.

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