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Number Systems

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

MathematicsReema says that \(\sqrt{3}\) is rational because 3 is a rational number. What is her error?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsWhy is a/b taken in lowest form in the proof of √2?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsIf (x^2) is divisible by (3), then (x) is divisible by (3). This statement is central in which proof?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsIf (x^2) is even then (x) is even. This statement is mainly used in which proof?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsSuppose \\(\sqrt{3}=\frac{p}{q}\\), where p and q are coprime positive integers. In the proof that \\(\sqrt{3}\\) is irrational, which fact gives the contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsWhich order is correct in the proof of irrationality of (\sqrt{2})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsWhich statement is correct about \(\sqrt{2}\) and \(\sqrt{3}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsIn the proof of √2, why is it a contradiction when both a and b are even?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsA student says that \(2\sqrt{3}\) is rational because 2 is a rational number. What is the error in the student's statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsA student claims that \(\sqrt{3}\) is rational because \(1.7^2=2.89\), which is very close to 3. What is the main error in the student's reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsAssuming (\sqrt{3}=\frac{p}{q}), we get (p^2=3q^2). What is the correct conclusion about (p)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsAfter assuming √2 = a/b in lowest rational form, we get a² = 2b². Which immediate conclusion is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsIn the proof of irrationality of (\sqrt{3}), what type of numbers are (r) and (s) assumed to be?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsIn the proof of irrationality of (\sqrt{2}), what type of numbers are (m) and (n) assumed to be?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsWhich mistake should be avoided in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsWhich mistake should be avoided in the proof that √2 is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Medium MathematicsWhich option gives a correct statement for both (\sqrt{2}) and (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsWhat is the main aim of the proofs of (\sqrt{2}) and (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsA student claims that \(2\sqrt{2}\) is rational because 2 is a rational number. Which statement correctly explains the error?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsWhile proving the irrationality of \(\sqrt{3}\) by contradiction, if \(\sqrt{3}=p/q\) where \(p\) and \(q\) are coprime, which conclusion is essential to the proof?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy