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Solved: Prove that there exist an irrational number a and a rational number b such that

Chapter 3, Problem 6

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QUESTION:

Prove that there exist an irrational number a and a rational number b such that ab is irrational.

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QUESTION:

Prove that there exist an irrational number a and a rational number b such that ab is irrational.

ANSWER:

Step 1 of 2

Given that is an irrational number and  is rational. Then the value can be determined by using existence proofs of quantified statements.

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