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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}), (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 MathematicsIn the proof of (\sqrt{2}), what type of error is directly writing (a=2b) from (a^2=2b^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), if (a=2m) and (b=2n), what does this go against?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), if (a=2k) is obtained from (a^2=2b^2), what is true about (k)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIf assuming (\sqrt{2}) rational makes (\frac{a}{b}) not remain in lowest form, what is the conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIf someone writes (b) is even directly from (a^2=2b^2) in the proof of (\sqrt{2}), what is the mistake?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), if (a^2) is even, why must (a) be even?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), (\frac{a}{b}) is in lowest form. If (a=2m) and (b=2n), which conclusion is most suitable?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), which option is a correct but incomplete conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), if (a=2k) and (b=2r), which statement about (\gcd(a,b)) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsWhich option states the final contradiction in the proof of (\sqrt{2}) most correctly?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), why is saying (b) is even immediately after proving (a) even an incomplete reasoning?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), after putting (a=2r), what correct form of (b^2) follows from (a^2=2b^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIn the proof of (\sqrt{2}), after assuming (\sqrt{2}=\frac{a}{b}) in lowest form, (a^2=2b^2) is obtained. Which conclusion comes first according to proof order?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Hard MathematicsIf both (p) and (q) are found even in the proof of (\sqrt{2}), which statement does it refute?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich option tells the role of assuming (\frac{p}{q}) in lowest form in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich statement is true but given with a wrong reason in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIn the proof of (\sqrt{2}), if (p=2k) and (q=2r), how can (\frac{p}{q}) be reduced?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsWhich statement shows a logical weakness in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard MathematicsIf assuming (\sqrt{2}) rational finally makes (\frac{p}{q}) not remain in lowest form, what is the correct conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard