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Category: Arithmetic

Find-out-a-b-c-where-a-2-b-2-c-2-a-b-c-1000-

Question Number 167533 by cortano1 last updated on 19/Mar/22 $$\:\:\:\:\:\:\mathrm{Find}\:\mathrm{out}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{where}\:\begin{cases}{\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} =\mathrm{c}^{\mathrm{2}} }\\{\mathrm{a}+\mathrm{b}+\mathrm{c}=\mathrm{1000}}\end{cases}\:\:\: \\ $$ Commented by Rasheed.Sindhi last updated on 19/Mar/22 $$\mathrm{a},\mathrm{b},\mathrm{c}\in\mathbb{N}\:{or}\:\mathrm{a},\mathrm{b},\mathrm{c}\in\mathbb{Z}\:? \\ $$…

Question-101974

Question Number 101974 by Ari last updated on 05/Jul/20 Commented by prakash jain last updated on 05/Jul/20 $$\mathrm{Can}\:\mathrm{you}\:\mathrm{please}\:\mathrm{attach}\:\mathrm{image}\:\mathrm{to}\:\mathrm{this} \\ $$$$\mathrm{question}.\:\mathrm{There}\:\mathrm{is}\:\mathrm{an}\:\mathrm{option}\:\mathrm{to} \\ $$$$\mathrm{attach}\:\mathrm{image} \\ $$ Answered…

If-S-n-is-the-sum-of-the-first-n-terms-of-an-A-P-Express-S-2k-in-terms-of-S-k-and-S-3k-

Question Number 101779 by I want to learn more last updated on 04/Jul/20 $$\mathrm{If}\:\:\:\:\mathrm{S}_{\mathrm{n}} \:\:\mathrm{is}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first}\:\:\mathrm{n}\:\:\mathrm{terms}\:\mathrm{of}\:\mathrm{an}\:\mathrm{A}.\mathrm{P}. \\ $$$$\mathrm{Express}\:\:\:\mathrm{S}_{\mathrm{2k}} \:\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\:\:\mathrm{S}_{\mathrm{k}} \:\:\mathrm{and}\:\:\:\mathrm{S}_{\mathrm{3k}} \\ $$ Answered by bemath last…

3-200-1080-

Question Number 36120 by anuyadavdeepak@gmail.com last updated on 29/May/18 $$\mathrm{3}\sqrt{\mathrm{200}×\mathrm{1080}} \\ $$ Answered by Joel579 last updated on 29/May/18 $$\mathrm{3}\sqrt{\mathrm{2}\:.\:\mathrm{100}\:.\:\mathrm{36}\:.\:\mathrm{3}\:.\:\mathrm{2}\:.\:\mathrm{5}} \\ $$$$\left(\mathrm{3}\:.\:\mathrm{2}\:.\:\mathrm{10}\:.\:\mathrm{6}\right)\sqrt{\mathrm{15}} \\ $$$$\mathrm{360}\sqrt{\mathrm{15}} \\…

3-433-

Question Number 36119 by anuyadavdeepak@gmail.com last updated on 29/May/18 $$\mathrm{3}\sqrt{\mathrm{43}\hat {\mathrm{3}}} \\ $$ Commented by Joel579 last updated on 29/May/18 $$\mathrm{since}\:\mathrm{433}\:\mathrm{is}\:\mathrm{prime}\:\mathrm{number},\:\mathrm{it}\:\mathrm{can}'\mathrm{t}\:\mathrm{be}\:\mathrm{simplified} \\ $$ Commented by…

Question-101491

Question Number 101491 by bobhans last updated on 03/Jul/20 Commented by bemath last updated on 03/Jul/20 $$\sqrt{\frac{\mathrm{2x}^{\mathrm{2}} +\mathrm{17x}−\left(\mathrm{x}^{\mathrm{2}} +\mathrm{5x}−\mathrm{36}\right)}{\mathrm{x}\left(\mathrm{x}−\mathrm{4}\right)}}\:− \\ $$$$\sqrt{\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{5x}+\mathrm{4}+\mathrm{x}}{\mathrm{x}\left(\mathrm{x}−\mathrm{4}\right)}}\:=\:\frac{\mathrm{8}}{\:\sqrt{\mathrm{5}}\:} \\ $$$$\sqrt{\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{12x}+\mathrm{36}}{\mathrm{x}\left(\mathrm{x}−\mathrm{4}\right)}}\:−\sqrt{\frac{\mathrm{x}^{\mathrm{2}}…