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Counterexample

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

MathematicsRiya claims that the sum of two irrational numbers is always irrational. Which example proves her claim wrong?Class 9Number SystemsIrrational numbersEasy MathematicsRiya makes two statements about irrational numbers: Statement I: The sum of two irrational numbers is always irrational. Statement II: The product of a non-zero rational number and an irrational number is always irrational. Which option is correct?Class 9Number SystemsIrrational numbersEasy MathematicsA student says, “The sum of two irrational numbers is always irrational.” Which of the following examples proves the statement wrong?Class 9Number SystemsIrrational numbersEasy MathematicsRiya states, “The sum of any two irrational numbers is always irrational.” Which example proves her statement wrong?Class 9Number SystemsIrrational numbersEasy MathematicsRiya says, “The sum of any two irrational numbers is always irrational.” Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersEasy MathematicsRiya says that the sum of two irrational numbers is always irrational. Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersEasy MathematicsRiya claims that the sum of any two irrational numbers is always irrational. Which of the following examples proves her claim wrong?Class 9Number SystemsIrrational numbersEasy MathematicsWhich example shows that \(\sqrt{a+b}=\sqrt a+\sqrt b\) is false?Class 9Number SystemsReal NumbersMedium MathematicsA student says that the product of two irrational numbers is always irrational. Which of the following examples proves the statement wrong?Class 9Number SystemsReal NumbersHard MathematicsA student claims that the sum of any two irrational numbers is always irrational. Which of the following pairs is a counterexample to this claim?Class 9Number SystemsReal NumbersHard MathematicsA student claims that the sum of two irrational numbers is always irrational. Which of the following examples disproves the claim?Class 9Number SystemsReal NumbersHard MathematicsRiya says that the sum of any two irrational numbers is always irrational. Which of the following examples disproves her statement?Class 9Number SystemsReal NumbersMedium MathematicsA student says that the sum of two irrational numbers is always irrational. Which of the following examples disproves the statement?Class 9Number SystemsReal NumbersMedium