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In the proof of (\sqrt{3}), if (a) is not divisible by (3), what inconsistency arises from (a^2=3b^2)?

Answer and explanation

Correct answer: (a^2) should not be divisible by (3), but the equation shows it is divisible

If (a) has no factor (3), then (a^2) also has none. But (a^2=3b^2) makes (a^2) divisible by (3).

Related tags

Number-SystemsDivisibilitySqrt3HardProof Of Irrationality Of Square Root 2 And Square Root 3Number SystemsMathematicsClass 9 Mcq

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