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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।

MathematicsWhat is the main purpose of assuming \(\frac{p}{q}\) is in lowest terms in the contradiction proof that \(\sqrt{2}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsRiya assumes that \(\sqrt{3}=\frac{a}{b}\), where \(a\) and \(b\) are coprime integers. If the proof shows that both \(a\) and \(b\) are divisible by 3, what conclusion follows?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsIn the proof of \(\sqrt{3}\), which conclusion is rejected by the rational assumption?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsIn the proof of (\sqrt{2}), what is shown false by the rational assumption?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsWhich thing is unnecessary in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsWhy is finding the decimal value not necessary in the proof of (\sqrt{2})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsRiya says that since a calculator displays \(\sqrt{2}\) as 1.414, \(\sqrt{2}\) is a rational number. What is the error in her reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsIn the proof of √2, if m/n is in lowest form, which situation is impossible?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Medium MathematicsWhat is the highest common factor of two coprime numbers?Class 9Number SystemsRational numbersLevel 21Easy MathematicsIn the proof of (\sqrt{3}), when both numbers are divisible by (3), which common factor is obtained?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsA student assumes that \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are coprime. The student obtains \(p^2=3q^2\). Which conclusion from this step establishes the contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsA student says, “1.732 is a terminating decimal and is very close to \(\sqrt{3}\), so \(\sqrt{3}\) is rational.” What is the main error in the argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsA student says that \(\sqrt{3}\) is rational because \(1.7^2=2.89\), which is very close to 3. What is the error in the student's reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsWhich is the correct short order of the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsWhich is the correct short order of the proof that √2 is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Medium MathematicsWhat is the purpose of taking r/s in lowest form in the proof that √3 is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Medium MathematicsA student claims that √12 is irrational because √12 = 2√3. Which statement is needed to make this argument valid?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsWhat does assuming (\sqrt{3}) as (\frac{r}{s}) mean?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsWhat does assuming (\sqrt{2}) as (\frac{m}{n}) mean?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsAman assumes that ext{\(\sqrt{3}=\frac{p}{q}\)}, where ext{\(p\)} and ext{\(q\)} are coprime. On squaring, he gets ext{\(p^2=3q^2\)}. Aman says, “ ext{\(3\mid p^2\)} does not necessarily imply ext{\(3\mid p\)}.” What is the correct evaluation of Aman’s statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy