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

Printable View

- Mar 6th 2009, 12:47 AMnoles2188rational numbers proof
Prove that there is no rational number x such that x^2 = -1.

- Mar 6th 2009, 01:33 AMCaptainBlack
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