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The definition of a rational number is a number that can be written with the form...

The definition of a rational number is a number that can be written with the form a/b with the fraction a/b being in lowest form. Prove that √27 is an irrational number using a proof by contradiction. You MUST use the approach described in class (and on the supplemental material on cuLearn) and your solution MUST include a lemma demonstrating that if ? 2 is divisible by 3 then ? is divisible by 3. Hint: reduce √27 to the product of two numbers and recall that the product of two rational numbers is a rational number.

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