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In the proof for (\sqrt{3}), after getting (b^2=3m^2), what conclusion about (b) is correct?

Answer and explanation

Correct answer: (b) is divisible by (3)

Step 1: From (b^2=3m^2), we get (3\mid b^2). Step 2: Since (3) is prime, (3\mid b). Step 3: This shows (3) common to both (a) and (b).

Related tags

Real-NumbersRoot3Final-StepDivisibilityProof Of Irrationality Of √2√3√5Proof Of Irrationality Of 2 3 5Real NumbersMathematics

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