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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।

MathematicsIf a and b are irrational numbers, which of the following statements is correct?Class 9Number SystemsGeneral chapter practiceExpert MathematicsA student claims that the sum of two irrational numbers is always irrational. Which of the following calculations gives a counterexample to the claim?Class 9Number SystemsIrrational numbersExpert MathematicsA student says, “If n is an integer, then \(\sqrt{n}\) will also be an integer.” Which example is most suitable to disprove this statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Easy MathematicsA student says, “The product of two irrational numbers is always irrational.” Which of the following examples proves that the statement is wrong?Class 9Number SystemsIrrational numbersExpert MathematicsA student claims, “The square of every irrational number is irrational.” Which example disproves this claim?Class 9Number SystemsIrrational numbersExpert MathematicsRiya says, “The square of every irrational number is also irrational.” Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersExpert MathematicsA student claims that the sum of any two irrational numbers is always irrational. Which of the following examples disproves this claim?Class 9Number SystemsIrrational numbersExpert MathematicsKavya says, “The product of any two irrational numbers is always irrational.” Which of the following examples proves that her statement is incorrect?Class 9Number SystemsIrrational numbersExpert MathematicsReena concludes, “If the square of a real number is rational, then the number itself must be rational.” Which of the following examples disproves her conclusion?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 MathematicsRina says in class that the sum of two irrational numbers is always irrational. Which of the following examples disproves her statement?Class 9Number SystemsIrrational numbersExpert MathematicsA student claims that the product of two irrational numbers is always irrational. Which of the following examples disproves this claim?Class 9Number SystemsIrrational numbersExpert MathematicsLet \(x\) be an irrational number. Which of the following statements is always true?Class 9Number SystemsIrrational numbersExpert MathematicsRiya states, “The product of two irrational numbers is always irrational.” Which of the following examples disproves her statement?Class 9Number SystemsIrrational numbersExpert MathematicsA student claims that the product of two irrational numbers is always irrational. Which of the following examples disproves the claim?Class 9Number SystemsIrrational numbersExpert MathematicsA student says, “The product of two irrational numbers is always irrational.” Which example disproves this statement?Class 9Number SystemsIrrational numbersExpert MathematicsA student claims, “The sum of two irrational numbers is always irrational.” Which of the following pairs is a counterexample to this claim?Class 9Number SystemsIrrational numbersExpert MathematicsA student claims, “The sum of two irrational numbers is always irrational.” Which of the following examples proves this claim wrong?Class 9Number SystemsIrrational numbersExpert MathematicsRiya says that the quotient of two irrational numbers is always irrational. Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersHard MathematicsA student says, “The product of two irrational numbers is always irrational.” Which of the following examples proves this statement wrong?Class 9Number SystemsIrrational numbersHard