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

MathematicsIf (\sqrt{5}) is assumed rational as (\sqrt{5}=\frac{a}{b}), which condition about (a) and (b) is essential for the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the irrationality proof of (\sqrt{3}), which reasoning is strongest while writing (3\mid p) from (3\mid p^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf (\sqrt{2}=\frac{p}{q}) is assumed in lowest form and (p^2=2q^2) is obtained, which sequence is most logical to reach the contradiction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIf assuming (\sqrt{3}=\frac{p}{q}) gives (p^2=3q^2), what is the main purpose of showing divisibility by (3) for both (p) and (q) in the proof?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhat is the best exam tip related to the irrationality of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich option gives an incorrect conclusion about (x) from (x^2=5y^2) in the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{2}), if both (p) and (q) are even, what does writing (p=2m) and (q=2n) show?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich option correctly states the role of (3) in the proof of irrationality of (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{5}), if both (x) and (y) are divisible by (5), which statement would be false?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (\sqrt{4}) is used instead of (\sqrt{2}), why will the same contradiction proof not apply?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{3}), after putting (a=3k), what becomes clear from (b^2=3k^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich option gives the correct final sentence for proving the irrationality of (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsAt which point is coprimality used decisively in the proof for (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (a^2=3b^2) is obtained in proving (\sqrt{3}) irrational, why is it correct to say (a^2) is a multiple of (3)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{5}), which condition is necessary while taking (5\mid y) from (5\mid y^2)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich option correctly explains the parity idea in the proof for (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf (3\mid a) and (3\mid b), what contradiction arises with assuming (\frac{a}{b}) in lowest form?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhile taking (x) and (y) coprime in the proof for (\sqrt{5}), what must be kept in mind?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf someone says (\sqrt{2}) is irrational because (2) is even, what is the correct correction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich option gives the correct reasoning to reach (q) in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert