3 ms·
Suppose sqrt(2)=a/b, a reduced rational. Then 2b*b=a*a, so a is even. But the right side has two a's therefore two 2's, so b is even. Contradiction!
by twiceaday 4y ago
Suppose sqrt(2)=a/b, a reduced rational. Then 2b*b=a*a, so a is even. But the right side has two a's therefore two 2's, so b is even. Contradiction!