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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 option gives the correct final sentence in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhich option gives the correct final sentence in the proof of √2?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIn the proof of (\sqrt{3}), if (p) is not divisible by (3), what problem arises from (p^2=3q^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIn the proof of (√2), if (m) is assumed odd, what problem arises from (m²=2n²)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIf a prime number has an odd exponent in the prime factorisation of a number, what can be concluded about the square root of that number?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIn the proof of \(\sqrt{2}\), if both \(m\) and \(n\) are even, what can be said about their highest common factor?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsRavi says that \(\sqrt{2}\) is irrational because its decimal expansion is infinite. What is the flaw in his argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhich of the following numbers cannot be written as a ratio \(p/q\) of two integers, where \(q\ne0\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIf \(\sqrt{2}\) is assumed to be rational and written as \(\sqrt{2}=\frac{p}{q}\), where \(p\) and \(q\) are coprime integers, why does a contradiction arise in the proof?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhich option is a wrong start in the proof of \(\sqrt{2}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIn the proof by contradiction for the irrationality of \(\sqrt{2}\), what is the main purpose of assuming \(\sqrt{2}=\frac{p}{q}\) in lowest terms?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsSuppose \(\sqrt{3}=\frac{m}{n}\), where \(m\) and \(n\) are coprime integers. Which conclusion proves a contradiction to this assumption?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIf assuming √3 is rational breaks the coprime condition, which conclusion is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIf assuming (√2) rational gives a contradiction, which conclusion is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Easy MathematicsRiya says, “ \(\sqrt{3}=1.732\ldots\), so it is irrational because its decimal expansion is non-terminating.” What is the main error in Riya’s reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhich option gives the correct squared relation used in the proof of \(\sqrt{2}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhich statement correctly describes the main idea used in the proof that \(\sqrt{2}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsA student claims that \(\sqrt{3}\) is rational because its square, \(3\), is a rational number. Which statement about this argument is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhat is the main difference between the proofs of (\sqrt{2}) and (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsWhat is the main similarity in the proofs of (\sqrt{2}) and (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium