Question: nment 12 Help Save&Exit Put the steps in correct order to prove that V2 is irrational Rank the options below Suppose that 2/3 or V
nment 12 Help Save&Exit Put the steps in correct order to prove that V2 is irrational Rank the options below Suppose that 2/3 or V is the rational number p/g. where p and q are positive integers with no common factors Hence, the assumption that v2 is rational is wrong. It is erational Since o? s even q must be even Hence, p and g are both even, that is, thet 2 is a common divisor of p and q Hence, 2 1. or, equivalently, P3 2This s ottained by cubing on both sides Substituting into the equation p3-203,83 24 which simpities to 43 Thus p? is even Since the product of odd numbers is odd. pis even and hence p 2s This contradicts the choice of p/ a such thet p and q have no common factors Firetox MacBook Air 80 2
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