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

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

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!