Category: Number Theory

Question Number 167189 by rexford last updated on 09/Mar/22 Commented by MJS_new last updated on 09/Mar/22 $$a<b\wedge c<d\Rightarrow (a+c)<(b+d)$$$$x<y\wedge -x<-y\Rightarrow (x-x)<(y-y)\Rightarrow 0<0\mathrm{false}$$ Terms of Service Privacy…

Question Number 36021 by Rasheed.Sindhi last updated on 27/May/18 $$\mathrm{Prove}\mathrm{that}\mathrm{the}\mathrm{hypotenuse}\mathrm{never}\mathrm{be}$$$$\mathrm{even}\mathrm{of}\mathrm{a}\mathrm{right}\mathrm{angled}\mathrm{triangle}\mathrm{whose}$$$$\mathrm{positive}\mathrm{integer}\mathrm{sides}\mathrm{are}\mathrm{relatively}\mathrm{prime}.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 166994 by null last updated on 04/Mar/22 $$1+1\ne ??$$ Answered by null last updated on 04/Mar/22 $$1+1\ne \mathbb{k}$$ Answered by null…

Question Number 35872 by Rasheed.Sindhi last updated on 25/May/18 Commented by Tinkutara last updated on 25/May/18 Yes this was also my doubt! Answered by Rasheed.Sindhi last updated on 26/May/18 $$\mathrm{Note}:\:\mathrm{Capital}\:\mathrm{C}\:\mathrm{and}\:\mathrm{small}\:\mathrm{c}\:\mathrm{has}\:\mathrm{been}…

Question Number 166911 by rexford last updated on 02/Mar/22 Answered by MathsFan last updated on 02/Mar/22 $$\mathit{s}\mathit{u}\mathit{p}\mathit{p}\mathit{o}\mathit{s}\mathit{e}\sqrt{2}\mathit{i}\mathit{s}\mathit{r}\mathit{a}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathit{a}\mathit{l}$$$$\sqrt{2}=\frac{\mathit{p}}{\mathit{q}}\Rightarrow 2=\frac{{\mathit{p}}^2}{{\mathit{q}}^2}\Rightarrow 2{\mathit{q}}^2={\mathit{p}}^2\dots ..\left(1\right)$$$$\:\mathrm{2}\:\boldsymbol{{divides}}\:\boldsymbol{{p}}…