Proof that √10 is irrational

212,986pages on
this wiki
Add New Page
Add New Page Discuss this page0

If √10 is a rational, say m/n, then m2 = 10n2. But in decimal notation, every square ends in an even number of zeros. So then m2 and 10n2 in decimal must end in respectively an even and odd number of zeros, a contradiction. Thus, If √10 is irrational.

Also on Fandom

Random wikia