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Proof Of Irrationality Of 2 3 5

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

MathematicsWhich option is the correct final sentence of the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich statement corrects the wrong argument that (\sqrt{5}) is rational?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIf the rational assumption for (\sqrt{3}) is proved false, what is the correct final conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIn the proof of (\sqrt{2}), if both (p) and (q) are even, which statement about (\frac{p}{q}) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich option shows a wrong idea in all three proofs?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIn the proof of (\sqrt{5}), why is getting (q^2=5k^2) after putting (p=5k) important?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIn the proof of (\sqrt{2}), which statement is correct but an incomplete conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIf (q^2=3k^2) is obtained in the proof of (\sqrt{3}), what is the correct conclusion for (q)?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich statement is a correct middle step in the proof of irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich option correctly states the effect of both (p) and (q) being divisible by (3) in the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsAfter assuming (\sqrt{2}) rational, (\sqrt{2}=\frac{p}{q}) is written. If finally both (p) and (q) are even, what is the correct conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIf (p) and (q) are coprime, which situation is impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich option gives the correct final reason in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIn the proof of (\sqrt{3}), if (p=3k), what is the correct value of (p^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich statement correctly tells the role of factor (2) in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIn the proof of (\sqrt{5}), what does taking (\frac{p}{q}) in lowest form mean?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsA student writes (\sqrt{3}=\frac{p}{q}), so (3=\frac{p}{q}). What is the mistake?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsWhich option is common in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium MathematicsIf (a^2=2b^2) and (a=2k), what is true about (b^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Medium 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, √5Medium