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

MathematicsIn the proof for (\sqrt{3}), after getting (3\mid p) and then (3\mid q), which statement would be false?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich statement is unnecessary in the proof of irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf (\sqrt{3}) were rational, what impossible situation would appear at the end of the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{3}), after putting (p=3k), (9k^2=3q^2) is obtained. What is the correct simplification?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf both (p) and (q) are found divisible by (3) in proving (\sqrt{3}) irrational, which statement about (\frac{p}{q}) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf (p^2=3q^2) in the proof for (\sqrt{3}), what is the simple reason that (p^2) is divisible by (3)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich idea is common in the proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich option gives the most appropriate final sentence for the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf (3\mid p) is obtained from (p^2=3q^2), what is correct about (k) when writing (p=3k)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhy is it necessary to write (q\neq0) while proving the irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5}), what changes while the proof method remains the same?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{3}), which shortcut from (p^2=3q^2) to (p=3k) is wrong?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{3}), if (\frac{p}{q}) is in lowest form but (p=3m) and (q=3n) are obtained, which conclusion is most precise?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf a student writes (\sqrt{3}\approx1.732) and treats it as proof of irrationality, what is the main weakness?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf (p=3r) has been proved in the irrationality proof of (\sqrt{3}), which step is correct to conclude about (q)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the irrationality proof of (\sqrt{3}), which reasoning is strongest while writing (3\mid p) from (3\mid p^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf assuming (\sqrt{3}=\frac{p}{q}) gives (p^2=3q^2), what is the main purpose of showing divisibility by (3) for both (p) and (q) in the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich option correctly states the role of (3) in the proof of irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{3}), after putting (a=3k), what becomes clear from (b^2=3k^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (a^2=3b^2) is obtained in proving (\sqrt{3}) irrational, why is it correct to say (a^2) is a multiple of (3)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert