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Irrationality

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

MathematicsWhich option explains why (\sqrt{2}) cannot be rational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsIn the proof of irrationality of (\sqrt{2}), after assuming (\sqrt{2}=\frac{a}{b}), what is the next correct step?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Easy MathematicsWhen assuming (\sqrt{2}) to be rational, what is the main reason for writing (p) and (q) as coprime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhich method is common in the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhat is the correct final conclusion for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhich conclusion is correct from the proof of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhat is the correct final conclusion of the proof of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhich option explains why (\sqrt{p}) is irrational when (p) is a prime number?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (p) and (q) are coprime positive integers and (\sqrt{2}=\frac{p}{q}) is assumed then where does the contradiction arise?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (x=1+\sqrt{2}+\sqrt{3}), what is the nature of (x-1)?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsWhich option explains why (\sqrt{2}+\sqrt{3}) is irrational?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsWhich option explains the irrationality of (\sqrt{p}) incorrectly?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsIf (\sqrt{2}) is written as (\frac{p}{q}), where (p) and (q) are coprime, what contradiction appears in the proof?Class 10Real NumbersIrrational numbersLevel 14Hard