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If (\sqrt{3}) is assumed rational and written as (\frac{p}{q}), what is the benefit of taking (\frac{p}{q}) in lowest form?

Answer and explanation

Correct answer: A clear contradiction is formed when a common factor is found

Step 1: In lowest form, (p) and (q) are coprime. Step 2: When the proof shows both divisible by (3), this becomes impossible. Step 3: Thus lowest form helps show contradiction.

Related tags

Sqrt3 ProofLowest FormClass 10Proof Of Irrationality Of √2√3√5Proof Of Irrationality Of 2 3 5Real NumbersMathematicsClass 10 Mcq

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