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Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich conclusion is correct in the proof that √2 is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Medium MathematicsRima says that if the decimal expansion of a number is infinite but non-repeating, then the number is rational. What is the error in Rima's statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIn the contradiction proof for the irrationality of \(\sqrt{3}\), assume that \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are coprime. Why is the condition that \(p\) and \(q\) are coprime necessary?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhich option gives the correct short order of the proof of √3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Medium MathematicsWhich option gives the correct short order of the proof of (\sqrt{2})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIn the proof of (\sqrt{3}), what does it mean that (p) and (q) are coprime?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhich statement is the key conclusion in the proof by contradiction that \(\sqrt{3}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhich step comes before (p^2=3q^2) in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student says that if \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are coprime integers, then even if \(p\) is divisible by 3, \(q\) need not be divisible by 3. Why is the statement incorrect?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhen irrationality of \(\sqrt{3}\) is proved, which conclusion is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student claims that \(\sqrt{3}=\frac{26}{15}\). Which of the following checks immediately proves that this claim is false?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhich statement is correct in proving irrationality of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student says, “\(3\) is an integer, so \(\sqrt{3}\) is rational.” What is the main error in this reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhy is the initial assumption considered false in the contradiction method?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIf \(\sqrt{2}\) is assumed to be \(\frac{p}{q}\), where \(p\) and \(q\) are coprime positive integers, which conclusion creates the contradiction in the proof?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student assumes that \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are coprime integers. After obtaining \(p^2=3q^2\), which conclusion proves this assumption contradictory?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsFrom (q^2=3r^2) what conclusion is obtained about (q)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsFrom (b^2=2k^2) what conclusion is obtained about (b)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIf (p=3r) and (p^2=3q^2) then which relation is formed next?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIf (a=2k) and (a^2=2b^2) then which relation follows?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy