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If (p) and (q) are coprime, why is it impossible to get both (p=2m) and (q=2n)?

Answer and explanation

Correct answer: Because then (2) will be a common factor of both

Step 1: (p=2m) means (2\mid p). Step 2: (q=2n) means (2\mid q). Step 3: Together, they give a common factor against coprimality.

Related tags

Real-NumbersRoot2CoprimeMultiple-FormProof Of Irrationality Of √2√3√5Proof Of Irrationality Of 2 3 5Real NumbersMathematics

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