Question: Problem 5.11. Prove that 2+3 is not a rational number. Problem 5.12. Prove that the square of an integer cannot be of the form

Problem 5.11. Prove that 2+3 is not a rational number. Problem 5.12. Prove that the square of an integer cannot be of the form 3k +2 where k is an integer. Problem 5.13. Prove that sinxs sinx for all x ER.

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To prove that 2 3 is irrational well assume the opposite that it is rational So lets assume that 2 3 can be expressed as a rational number in the form of pq where p and q are integers with no common f... View full answer

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