Category: Algebra

Question Number 192009 by universe last updated on 05/May/23 $$ifa>1,show$$$$\frac{\underset{k=1}{\sum ^{a^2-1}}\sqrt{a+\sqrt{k}}}{\underset{k=1}{\sum ^{a^2-1}}\sqrt{a-\sqrt{k}}}=\sqrt{2}+1$$ Answered by Skabetix last updated…

Question Number 60905 by necx1 last updated on 27/May/19 $$ifx+\frac{1}{x}=\sqrt{3}.find$$$$x^{24}+x^{18}+x^6+1$$ Answered by ajfour last updated on 27/May/19 $${E}={x}^{\mathrm{24}}…

Question Number 191961 by Shlock last updated on 04/May/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 191947 by universe last updated on 04/May/23 $$provethat$$$$\sqrt{a+b\sqrt{a-b\sqrt{a+b\sqrt{a-b\sqrt{\dots }}}}}=\frac{\sqrt{4a-3b^2}+b}{2}$$ Answered by ajfour last updated on 05/May/23 $${Let}\:{s}=\sqrt{{a}+{b}\sqrt{{a}−{bs}}}=\frac{{b}+\sqrt{\mathrm{4}{a}−\mathrm{3}{b}^{\mathrm{2}} }}{\mathrm{2}} \…

Question Number 126391 by mathocean1 last updated on 20/Dec/20 $$$$$$showthat$$$$m^2+mand2m+1areprimebetwen$$$$them.$$ Answered by akornes last updated on…