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Class 9 Mathematics

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

MathematicsA student claims that \(\sqrt{3}=\frac{6}{10}\) because a decimal number close to 3 can be written. What is the error in this claim?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsWhich statement creates a contradiction in the proof that \(\sqrt{2}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsWhich of the following numbers has an irrational square root?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsA student says that if \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q\ne0\), then \(p^2=3q^2\) proves only that \(p\) is divisible by 3. What is the correct next conclusion in this argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsWhich of the following statements is the correct basis for proving that \(\sqrt{3}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy 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 3Easy MathematicsWhen irrationality of \(\sqrt{3}\) is proved, which conclusion is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsWhich statement correctly describes the method used to prove that \(\sqrt{2}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsA student assumes that ",Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsA student claims that \(\sqrt{2}\) is rational because \(1.414=\frac{1414}{1000}\). What is the main error in the argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsA student claims that every non-terminating decimal expansion is irrational. Which of the following numbers is a counterexample to the claim?Class 9Number SystemsIrrational numbersExpert MathematicsWhich of the following decimal expansions definitely identifies the number as irrational?Class 9Number SystemsIrrational numbersExpert MathematicsA student says, “The sum of two irrational numbers is always irrational.” Which of the following expressions is a counterexample to this statement?Class 9Number SystemsIrrational numbersExpert MathematicsReema claims that for any rational number \(r\), \(r+\sqrt{7}\) will be irrational. Which of the following arguments correctly evaluates her claim?Class 9Number SystemsIrrational numbersExpert MathematicsIf \(r\) is a rational number and \(x\) is an irrational number, which of the following statements is always true?Class 9Number SystemsIrrational numbersExpert MathematicsWhich of the following statements is necessarily true?Class 9Number SystemsIrrational numbersExpert MathematicsLet \(x\) be an irrational number. Which of the following statements is always true?Class 9Number SystemsIrrational numbersExpert MathematicsWhich of the following numbers is rational despite containing square-root signs?Class 9Number SystemsIrrational numbersExpert MathematicsA student claims that \(3+\sqrt{2}\) is a rational number. Which argument proves the student's claim wrong?Class 9Number SystemsIrrational numbersExpert MathematicsIf \(x\) is an irrational number, which of the following expressions is not necessarily irrational?Class 9Number SystemsIrrational numbersExpert