Why √2 Can't Be a Fraction — The Even-Number Trap Behind Proof by Contradiction | Think Math EP.14

No matter how precisely you write √2 as a decimal, it never ends or repeats. Why can √2 never be a fraction of two integers? Assume √2 = p/q in lowest terms. Then p²=2q², forcing p even, then q even too — contradicting 'lowest terms.' So √2 is irrational (proof by contradiction). ▶ Think Math app — math that builds thinking, not just calculation https://hasegi.co.kr/thinkmath/install #ThinkMath #생수 #irrationalnumber #squarerootof2 #proofbycontradiction #realnumbers #numbertheory