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Prime Divisor Property

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsSuppose \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are coprime integers. Which property is used to infer \(3\mid p\) from \(3\mid p^2\) in the proof?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Expert MathematicsIf b^2=3a^2 is obtained when b is in lowest form, which property is used to prove that b is divisible by 3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Hard MathematicsIn the proof that \(\sqrt{3}\) is irrational, suppose \(\frac{p}{q}\) is in lowest terms and \(p^2=3q^2\) is obtained. Which fact is needed to establish the contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Hard