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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।

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, √5Level 17Medium MathematicsWhich statement is a correct middle step in the proof of irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsWhich option gives the correct final reason in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIn the proof of (\sqrt{5}), what does taking (\frac{p}{q}) in lowest form mean?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium 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 MathematicsIf assuming (\sqrt{5}) rational proves both (p) and (q) divisible by (5), what does this contradict?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsWhich statement is wrong in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIn the proof of (\sqrt{5}), if (p=5k) and (q=5r) are obtained, which conclusion is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsWhere is the fact that (5) is prime used in the proof of irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIn the proof of (\sqrt{5}), after putting (p=5k), (25k^2=5q^2) is obtained. Which conclusion is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIf (\sqrt{5}=\frac{p}{q}) is assumed in lowest form and (p^2=5q^2) is obtained, in which form should (p) be written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsWhich option shows the correct path to prove (q) divisible by (5) in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsIn the proof of (\sqrt{5}), (p) is found divisible by (5) from (p^2=5q^2). What is the purpose of putting (p=5k)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsIf in the proof of (\sqrt{5}), both (p) and (q) are proved divisible by (5), what does it mean?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsWhich statement is directly correct from (p^2=5q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsWhich statement is correct in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsWhich statement gives the correct order of the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsWhich option correctly tells the role of (5) being prime in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsIn the proof of (\sqrt{5}), after getting (n^2=5k^2), which reasoning is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsIn the proof of (\sqrt{5}), after putting (m=5k), which equation follows from (m^2=5n^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium