Category: Algebra

Question Number 190024 by Shrinava last updated on 26/Mar/23 $$\mathrm{Find}:$$$$\sqrt{4+\sqrt{2}}\cdot \sqrt{3+\sqrt{5+\sqrt{2}}}\cdot \sqrt{3-\sqrt{5+\sqrt{2}}}+\mid \sqrt{14}-4\mid$$ Answered by SEKRET last updated on 26/Mar/23 $$\sqrt{4+\sqrt{2}}\sqrt{3^2-(5+\sqrt{2})}+4-\sqrt{14}$$$$\:\:\:\sqrt{\mathrm{4}+\sqrt{\mathrm{2}}\:}\:\sqrt{\mathrm{4}−\sqrt{\mathrm{2}}\:}\:+\mathrm{4}\:−\:\sqrt{\mathrm{14}}\:…

Question Number 190021 by Shrinava last updated on 26/Mar/23 $$\mathrm{Find}:$$$$\underset{\mathbf{n}\to \mathrm{\infty }}{\lim }{\mathrm{H}}_{\mathbf{n}}(\underset{\mathbf{k}=1}{\sum ^{\mathbf{n}}}\frac{1}{\mathrm{n}+\mathrm{k}}-\underset{\mathbf{k}=1}{\sum ^{\mathbf{n}}}{\cot }^{-1}(\mathrm{n}+\mathrm{k}))$$ Terms of Service Privacy…

Question Number 58943 by hhghg last updated on 01/May/19 $$\mathrm{Add}469+143$$ Answered by Tony Lin last updated on 01/May/19 $$=612$$ Terms of…

Question Number 58942 by hhghg last updated on 01/May/19 $$4\times \frac{1}{10}$$ Answered by Tony Lin last updated on 01/May/19 $$=\frac{4}{10}=\frac{2}{5}$$ Terms of…

Question Number 58934 by hhghg last updated on 01/May/19 $$856\times 16$$ Answered by Tony Lin last updated on 01/May/19 $$=13696$$ Terms of…