[질문] *특루트2가무리수라고증명할때유리수라고가정하고서로소인a와b의분수로나타낸다음방법

√2=n/m(n,m은서로소)양변제곱,즉n제곱=2m제곱->n제곱2의배수므로n=2k로나타내고n이2의배수->n=2k를n제곱=2m제곱대입->m2의배수->m,n서로소란가정위배->무리수