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Coprime Numbers

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

MathematicsIn the proof by contradiction for the irrationality of \(\sqrt{3}\), why are \(p\) and \(q\) chosen to be coprime when assuming \(\sqrt{3}=\frac{p}{q}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Expert MathematicsA student assumes that \(\sqrt{3}=\frac{m}{n}\), where \(m\) and \(n\) are coprime. During the proof, if both \(m\) and \(n\) are shown to be divisible by 3, what is the error in the student's assumption?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Expert MathematicsIf a proof writes \(\sqrt{2}=\frac{m}{n}\) but does not state lowest form, what is the biggest weakness?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Hard MathematicsWhich option gives the most correct full logical chain in the proof of \(\sqrt{2}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Hard MathematicsIn the proof of \(\sqrt{2}\), if both \(m\) and \(n\) are even, what can be said about their highest common factor?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium MathematicsWhich statement is a wrong conclusion in the proof of \(\sqrt{3}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium MathematicsIf (a) and (b) are coprime, which situation is not possible?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium MathematicsIn the proof of √2, why is it a contradiction when both a and b are even?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Medium MathematicsWhat is the main purpose of assuming \(\frac{p}{q}\) is in lowest terms in the contradiction proof that \(\sqrt{2}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsIn the contradiction proof for the irrationality of \(\sqrt{3}\), assume that \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are coprime. Why is the condition that \(p\) and \(q\) are coprime necessary?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsWhy are a and b assumed to be coprime in √3 = a/b?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy