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Contradiction

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

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 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 MathematicsIn the proof of (\sqrt{2}), after getting (q^2=2k^2), which reasoning is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIf assuming (\sqrt{3}) rational makes both (p) and (q) divisible by (3), which fact is proved false?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Medium MathematicsIf assuming (\sqrt{5}) rational finally gives a contradiction, which conclusion is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsAfter assuming (\sqrt{3}) rational, (\sqrt{3}=\frac{p}{q}) is written. If common factor (3) is found in (p) and (q), which assumption is proved false?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsIf (\sqrt{2}) were rational, what conclusion follows if both (p) and (q) are found even in lowest form (\frac{p}{q})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsWhat is the role of assuming coprime numbers in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsAssume (\sqrt{3}) is rational and (\sqrt{3}=\frac{a}{b}). If (a) and (b) are coprime, when will a contradiction occur in the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Medium MathematicsIn the proof of (\sqrt{5}), if (q^2=5k^2) is obtained, what is the next correct conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhat opposite assumption is taken while proving the irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Easy MathematicsWhy are results like (a=5k) and (b=5l) a contradiction in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIf assuming (\sqrt{3}) rational makes both (a) and (b) divisible by (3), what is the correct conclusion?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIn the proof of (\sqrt{5}), what does finding both (a) and (b) divisible by (5) show?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIn the proof of (\sqrt{3}), if both (a) and (b) are found divisible by (3), which condition is broken?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhich contradiction appears in the proof of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhat is the contradiction in the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhat is the final contradiction in the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIf (5-\sqrt{6}) is assumed rational then which false conclusion follows?Class 10Real NumbersIrrational numbersLevel 15Expert