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Sqrt2 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{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 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 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{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 MathematicsIn the proof of (\sqrt{2}), after putting (p=2r), which correct simplification is obtained from (p^2=2q^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhile proving the irrationality of (\sqrt{2}), if (\sqrt{2}=\frac{p}{q}) is assumed in lowest form, which reasoning from (p^2=2q^2) is most accurate?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIn the proof of (\sqrt{2}), when both (a) and (b) are proved even, which conclusion is most appropriate?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsIf in the proof of (\sqrt{2}=\frac{p}{q}), both (p) and (q) get common factor (2), which initial statement becomes false?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhich option gives the correct final reason in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium 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 MathematicsIn which proof does finding both (p) and (q) even give the final contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsIn the proof of (\sqrt{2}), if (p=2k) and (q=2r) are obtained, what can be said about (\frac{p}{q})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsWhat is the importance of getting (q^2=2k^2) in the proof of (\sqrt{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 MathematicsWhich option is not correct in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsIn the proof of irrationality of (\sqrt{2}), after getting (a^2=2b^2), which is the correct form for (a)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsAssume (\sqrt{2}) is rational and written as (\sqrt{2}=\frac{a}{b}). If (\frac{a}{b}) is in lowest form, what is true about (a) and (b)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Medium MathematicsA student writes (q=2k) from (q^2=2k^2) in the proof of (\sqrt{2}). What is the correct comment?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIn the proof of (\sqrt{2}), if (p) and (q) are coprime, why is getting (p=2k) and (q=2r) impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium 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, √5Level 17Medium