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Category: Arithmetic

Question-131925

Question Number 131925 by mathlove last updated on 09/Feb/21 Commented by kaivan.ahmadi last updated on 09/Feb/21 $$\mathrm{2}{x}^{\mathrm{3}} +\mathrm{24}={A} \\ $$$${x}^{\mathrm{3}} >\mathrm{24}\Rightarrow{min}\left({x}^{\mathrm{3}} \right)=\mathrm{25} \\ $$$$\Rightarrow{min}\left({A}\right)=\mathrm{2}\left(\mathrm{25}\right)+\mathrm{24}=\mathrm{74} \\…

Show-that-5-21-8-55-7-33-6-35-

Question Number 582 by ssahoo last updated on 31/Jan/15 $$\mathrm{Show}\:\mathrm{that} \\ $$$$\sqrt{\mathrm{5}+\sqrt{\mathrm{21}}}\:+\sqrt{\mathrm{8}+\sqrt{\mathrm{55}}}\:=\sqrt{\mathrm{7}+\sqrt{\mathrm{33}}}\:+\sqrt{\mathrm{6}+\sqrt{\mathrm{35}}} \\ $$ Commented by prakash jain last updated on 31/Jan/15 $$\sqrt{\mathrm{5}+\sqrt{\mathrm{21}}}={a}+{b} \\ $$$${a}^{\mathrm{2}}…

Question-66036

Question Number 66036 by aliesam last updated on 08/Aug/19 Answered by mr W last updated on 08/Aug/19 $$=\mathrm{2}\left(\mathrm{1}+\mathrm{2}+\mathrm{3}+…+\frac{{n}}{\mathrm{2}}\right) \\ $$$$=\mathrm{2}×\frac{\left(\mathrm{1}+\frac{{n}}{\mathrm{2}}\right)\frac{{n}}{\mathrm{2}}}{\mathrm{2}} \\ $$$$=\frac{{n}\left({n}+\mathrm{2}\right)}{\mathrm{4}} \\ $$ Terms…