Thread: rational numbers proof

Prove that there is no rational number x such that x^2 = -1.

Originally Posted by noles2188

Prove that there is no rational number x such that x^2 = -1.

None required, the square of a real number is positive, so no real number has a negative square, hence no rational has a negative square.

If you mean show that there is no rational x such that x^2=2 then see the Wikipedia article.

CB