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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।

MathematicsIn the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5}), in what form is the rational assumption taken?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf a student writes (\sqrt{5}=\frac{5}{1}), what is the most correct correction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich option gives the correct basis for writing (p=3r) in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhy is the proof for (\sqrt{2}) not complete by only writing that (p^2) is even?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsAfter assuming (\sqrt{5}) rational, which sequence is most correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (x) and (y) are coprime, which situation is impossible?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich point in the proof of (\sqrt{3}) depends on (3) being prime?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich statement is not part of a sufficient argument for proving (\sqrt{2}) irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (p^2=5q^2) and (p=5t), which final conclusion about (q) is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proof for (\sqrt{2}), after taking (\frac{p}{q}) in lowest form, both (p) and (q) turn out even. What does this disprove?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich general statement applies to the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (\sqrt{5}) is rational, how should it be correctly written?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsAfter assuming (\sqrt{3}=\frac{p}{q}) and squaring, (p^2=3q^2) is obtained. What is the correct conclusion about (p)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich option shows an incorrect argument in the proof of irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhile proving (\sqrt{5}) irrational, after putting (x=5m), what is needed to conclude about (y)?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proof for (\sqrt{3}), after putting (a=3k), which correct conclusion follows?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proof for (\sqrt{2}), if both (p) and (q) are proved even, which final conclusion is appropriate?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIf (5\mid x^2), why is (5\mid x) concluded?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich statement creates the actual contradiction in the proof for (\sqrt{3})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsIn the proof of irrationality of (\sqrt{2}), after putting (p=2r), which equation is correct?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert