Mathematics Tripos Papers

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Paper 4, Section II, D

Numbers and Sets | Part IA, 2012

Prove that each of the following numbers is irrational: (i) 2+3\sqrt{2}+\sqrt{3}2​+3​ (ii) eee (iii) The real root of the equation x3+4x−7=0x^{3}+4 x-7=0x3+4x−7=0 (iv) log⁡23\log _{2} 3log2​3.

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