5 ms·
Even x Even results Even Even x Odd irrelevant if squaring Odd x Odd results Odd
by DiggyJohnson 2y ago
Even x Even results Even
Even x Odd irrelevant if squaring
Odd x Odd results Odd
- bsaul 2y agoexcept sqrt(2) x sqrt(2) is even ( i know we're talking about numbers in Z in this case, and sqrt(2) definitely isn't in Z, but still) Which made me wonder if the original sentence isn't already assuming something about sqrt(2) and even/odd properties. (i stopped at the same step as OP wondering if this is as trivial as it seemed)
- lIl-IIIl 2y ago>Odd x Odd results Odd This isn't obvious and can't be taken for granted. The explanation posted above (2k+1)^2 by Smaug123 explains this part.