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Question Number 3262 by Rasheed Soomro last updated on 08/Dec/15

$$\mathcal{C}ould{}^3\sqrt{2}bedrawnonnumberedlinewith$$$$thehelpofrulerandcompassonly?$$

Commented by prakash jain last updated on 09/Dec/15

$$\sqrt[3]{2}\mathrm{cannot}\mathrm{be}\mathrm{drawn}\mathrm{using}\mathrm{a}\mathrm{ruler}\mathrm{and}\mathrm{compass}.$$

Commented by Rasheed Soomro last updated on 10/Dec/15

$$\mathcal{C}anthisbeproved?$$

Commented by 123456 last updated on 10/Dec/15

$$\mathrm{transcendental}\mathrm{number}?$$

Commented by prakash jain last updated on 11/Dec/15

$$\sqrt[3]{2}\mathrm{is}\mathrm{not}\mathrm{transcendental}\mathrm{as}\mathrm{it}\mathrm{is}\mathrm{a}\mathrm{solution}$$$$\mathrm{of}{x}^3-2=0.$$$$\mathrm{In}2\mathrm{D}\mathrm{with}\mathrm{ruler}\mathrm{and}\mathrm{compass}\mathrm{only}\sqrt{2}\mathrm{and}$$$$\mathrm{any}\mathrm{expression}\mathrm{inolving}\mathrm{square}\mathrm{roots}\mathrm{can}\mathrm{be}$$$$\mathrm{constructed}.$$

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