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Proof Order

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

MathematicsIf (\sqrt{2}=\frac{p}{q}) is assumed in lowest form and (p^2=2q^2) is obtained, which sequence is most logical to reach the contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich option shows the correct order for proving the irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsAfter assuming (\sqrt{5}) rational, which sequence is most correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich option gives the correct order of proof for the irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIn the proof of (\sqrt{2}), (a) has been proved even and (\frac{a}{b}) is in lowest form. What is the most correct next step?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich step is wrong in order in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIf someone writes (q^2) is even directly from (p^2=2q^2) in the proof of (\sqrt{2}), why is this a rushed step?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{3}), why is (q) not directly said to be divisible by (3) from (p^2=3q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhat is the correct order of the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsIn the proof of (\sqrt{5}), after (p^2=5q^2), when is (q) proved divisible by (5)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIn the proof of (\sqrt{3}), why can we not directly say (q) is divisible by (3) from (p^2=3q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsWhich statement gives the correct order of the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsWhich option gives the correct order of the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhich statement shows the correct order for the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhich statement comes near the end of the proof sequence of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy