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Irrationality Proof

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

MathematicsWhich statement is useful in the proofs of (\sqrt{3}) and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhy are (p) and (q) assumed to be coprime in the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIf (p^2) is even, which conclusion about (p) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsWhich assumption is taken first to prove that (\sqrt{2}) is irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Easy MathematicsIf (p) and (q) are coprime integers and (\sqrt{5}=\frac{p}{q}) is assumed, in what form does the contradiction appear?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (p) is a prime number, which main idea is used to prove that (\sqrt{p}) is irrational?Class 10Real NumbersIrrational numbersLevel 13Expert