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Question Number 48129 by kaivan.ahmadi last updated on 19/Nov/18

$$\mathrm{how}\mathrm{we}\mathrm{can}\mathrm{show}{}_{3_{\sqrt{2}}}\mathrm{on}\mathrm{axis}?$$

Answered by tanmay.chaudhury50@gmail.com last updated on 20/Nov/18

$$tryingtosolve...$$$$1)firstplotgraphy=x^3$$$$2)plotpointp(0,2)onyaxis$$$$3)drawstraightliney=2whichisparallel$$$$toxaxis$$$$4)letstraightliney=2cutscurveatpointq$$$$theco-oridinateofpointqis(2^{\frac{1}{3}},2)$$$$5)drawstraightlineparraleltoyaxisfrom$$$$pointq$$$$6)letthisstraightlinecutsxaxisatpointsay$$$$MsocoordinateofMis(2^{\frac{1}{3}},0)$$

Commented by MJS last updated on 20/Nov/18

$$\mathrm{this}\mathrm{works}\mathrm{but}{\mathrm{there}}^{\prime }\mathrm{s}\mathrm{no}\mathrm{way}\mathrm{to}\mathrm{exactly}$$$$\mathrm{construct}\mathrm{it}$$

Commented by kaivan.ahmadi last updated on 20/Nov/18

$$\mathrm{thank}\mathrm{you}\mathrm{sir}.$$$$\mathrm{would}\mathrm{you}\mathrm{show}\mathrm{it}\mathrm{geometricaly}?$$

Commented by MJS last updated on 20/Nov/18

$${\mathrm{it}}^{\prime }\mathrm{s}\mathrm{impossible}.$$$${\mathrm{it}}^{\prime }\mathrm{s}\mathrm{the}\mathrm{old}\mathrm{problem}\mathrm{of}‘‘\mathrm{doubling}\mathrm{the}{\mathrm{cube}}^{″}$$$$\mathrm{which}\mathrm{has}\mathrm{been}\mathrm{proven}\mathrm{impossible}\mathrm{in}\mathrm{the}$$$${19}^{\mathrm{th}}\mathrm{century}$$

Commented by kaivan.ahmadi last updated on 20/Nov/18

$$\mathrm{thanks}\mathrm{for}\mathrm{ur}\mathrm{answer}$$

Commented by MJS last updated on 21/Nov/18

$$\mathrm{you}\mathrm{can}\mathrm{maybe}\mathrm{use}\mathrm{the}\mathrm{approximation}\sqrt[3]{2}\approx 1.26\mathrm{which}$$$$\mathrm{is}.00008\mathrm{units}\mathrm{or}.006\mathrm{\%}\mathrm{greater}.1.{26}^3=2.000376$$

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