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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}), if finally (p=5m) and (q=5n) are obtained, what is the most accurate comment on the lowest form of (\frac{p}{q})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{5}), which statement should come just before the final contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich option shows the correct route to prove (q) divisible by (5) in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich option gives a true statement with a wrong reason in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{5}), both (p) and (q) are found divisible by (5). What does this reveal?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich final reason is most accurate in proving (\sqrt{5}) irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{5}), if (p=5k) and (q=5r) are obtained, which initial condition breaks?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich statement leaves the proof of (\sqrt{5}) incomplete?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{5}), writing (p=5k) from (p^2=5q^2) depends on which condition?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{5}), if (p=5k) and (q=5r), how can (\frac{p}{q}) be reduced?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{5}), which conclusion cannot be drawn immediately from (p^2=5q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich statement is algebraically wrong in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIf (\sqrt{5}=\frac{m}{n}) is in lowest form and (m^2=5n^2), what is the next aim after writing (m=5k)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{5}), if (\frac{p}{q}) is in lowest form, which statement is correct when (p=5k) and (q=5r) are obtained?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIf someone writes (p=5q) from (p^2=5q^2) in the proof of (\sqrt{5}), what type of error is it?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich option correctly identifies the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich option gives a result against (\gcd(p,q)=1) in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIn the proof of (\sqrt{5}), after getting (p^2=5q^2), which conclusion cannot be drawn immediately?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIn the proof of (\sqrt{5}), (q) is divisible by (5) from (q^2=5k^2). Which condition is necessary for this conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich option gives a correct and complete reasoning in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard