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Sqrt5 Proof

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhy is it necessary to assume (p) and (q) coprime while proving (\sqrt{5}) irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIf the sequence (p^2=5q^2), (p=5k), (q^2=5k^2) appears in the proof of (\sqrt{5}), what is the next correct statement?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIn the proof of (\sqrt{5}), if both (p) and (q) are proved divisible by (5), which conclusion is the most logical?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIn the proof of (\sqrt{5}), (p) is proved divisible by (5) from (p^2=5q^2). What does this depend on?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich option shows an algebraic mistake in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich step is wrong in order in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIf (\sqrt{5}=\frac{p}{q}) is assumed in lowest form and (p=5k) is obtained in the proof, what is the next important aim?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich idea works similarly in the proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhich statement gives both the correct conclusion and reason in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhich option correctly tells the purpose of writing (p=5k) in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsIn the proof of (\sqrt{5}), which step comes just before concluding that (q) is divisible by (5)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsIn the proof of (\sqrt{5}), both (p) and (q) being divisible by (5) exposes what issue?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhich statement is a wrong reasoning in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhich option shows the correct order in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsIn the proof of (\sqrt{5}), which rule is used to go from (p^2=5q^2) to (p=5k)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhich option shows an incomplete proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsIn the proof of (\sqrt{5}), after getting (q^2=5k^2), which reasoning is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsIn the proof of (\sqrt{5}), after putting (p=5k), what form of (q^2) follows from (p^2=5q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsIf (\sqrt{5}=\frac{m}{n}) and (m^2=5n^2), what is the first correct conclusion about (m^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhich statement is correct in proving (\sqrt{5}) irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium