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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 of (\sqrt{2}), after getting (p^2=2q^2), which statement is correct but does not yet complete the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard 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 MathematicsWhich option is a wrong proof method in the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsAfter proving both (p) and (q) even in the proof of (\sqrt{2}), how should the final conclusion be written?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 MathematicsWhich option is the biggest common misconception in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIn the proof of (\sqrt{3}), after getting (q^2=3k^2), why can (q=3r) be written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIf (r) is prime and (r\mid x^2), what is its correct use in the proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich statement gives the correct basis for proving (q) even in the proof of (\sqrt{2})?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 MathematicsIf a student writes (3=\frac{p}{q}) from (\sqrt{3}=\frac{p}{q}), what is the correct correction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich option states the final contradiction in the proof of (\sqrt{2}) in correct language?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 MathematicsIf assuming (\sqrt{3}) rational gives (p^2=3q^2), which is the correct chain until (q) is proved divisible by (3)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhat completes the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?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 MathematicsIn the proof of (\sqrt{3}), (p^2=3q^2) gives (p=3k) and then (q=3r). Why does this make the original assumption false?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIn the proof of (\sqrt{2}), if someone says that (p^2=2q^2) immediately makes both (p) and (q) even, what is the correct comment?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIf (p) and (q) are coprime, which result would most directly contradict this?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