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Proof Reasoning

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

MathematicsRina is proving that \(\sqrt{12}\) is irrational. Which of the following arguments contains no error?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Expert MathematicsFor a square with side length 1 cm, Reena claims that its diagonal must also be rational because the side is rational. Which statement correctly identifies the error in Reena’s conclusion?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Expert MathematicsA student says that the decimal expansion of \(\sqrt{3}\) is 1.732... and does not terminate; therefore, \(\sqrt{3}\) is irrational. What is the main error in the student's reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsA student says, “Since \((\sqrt{2})^2 = 2\) and 2 is rational, \(\sqrt{2}\) must also be rational.” What is the correct error in this argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsWhich option gives the correct reasoning from (p²) to (p) in the proof of (√3)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium