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Sqrt3

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

MathematicsIn the proof of (\sqrt{3}), which skipped step would prevent the final contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsWhich option correctly distinguishes (q\neq0) and the coprime condition in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsWhich option gives the deeper prime-factor reason for irrationality of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIn the proof of (\sqrt{3}), if someone writes directly from (p^2=3q^2) that (q) is divisible by (3), which analysis is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsWhich option correctly uses the prime factor idea in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIn the proof of (\sqrt{3}), if (p) is not divisible by (3), why does (p^2=3q^2) create conflict?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIn the proof of (\sqrt{3}), which conclusion alone is not sufficient but is the first step toward final contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIn the proof of (\sqrt{3}), if both (p) and (q) become divisible by (3), what happens to the lowest form of (\frac{p}{q})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIf a student writes (p=3q) directly from (p^2=3q^2) in the proof of (\sqrt{3}), what is the mistake?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhich option gives the correct middle objective in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhich option correctly describes the role of (p) and (q) in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIn the proof of √3, what does p = 3k show?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhich statement gives both correct reason and conclusion in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIn the proof of (\sqrt{3}), if (p) is not divisible by (3), what conflict occurs with (p^2=3q^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIf (p) and (q) are coprime, which situation is impossible in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhich statement is used to move from p² to p in the proof of √3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIn the proof of (\sqrt{3}), why is it incomplete to write directly from (p^2=3q^2) that (q) is divisible by (3)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsWhich option gives the correct order in the proof of irrationality of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIf p/q is in lowest form, which situation creates a contradiction in the proof of √3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIn the proof of (\sqrt{3}), after getting (q^2=3k^2), which conclusion about (q) is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium