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Rational Assumption

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

MathematicsWhich option clearly shows that assuming (\sqrt{5}) rational is wrong?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsAfter assuming (\sqrt{2}) rational and writing (p^2=2q^2), which condition must not be forgotten?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard 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 (\sqrt{3}) is assumed rational and (\frac{p}{q}) is in lowest form, what conclusion follows when both (p) and (q) are found divisible by (3)?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 MathematicsIn the proof of (\sqrt{3}), (p^2=3q^2) gives (p=3k) and then (q=3r). Why does this make the original assumption false?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Hard