Prove the following statement using Proof by Contradiction. Let x and y be positive rational numbers such that va and Vy are irrational. 1. (10 Points) Prove that væ+ Vy is irrational. 2. (5 Points) Give an example to show that the sum of two irrational n

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Prove the following statement using Proof by Contradiction. Let x and y be positive rational numbers such that va and Vy are irrational. 1. (10 Points) Prove that væ+ Vy is irrational. 2. (5 Points) Give an example to show that the sum of two irrational numbers may be rational. 3. (5 Points) Conclude that V2 + V3 & Q.

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Prove the following statement using Proof by Contradiction. Let x and y be positive rational numbers such that va and Vy are irrational. 1. (10 Points) Prove that væ+ Vy is irrational. 2. (5 Points) Give an example to show that the sum of two irrational n

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