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Irrational Numbers

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

MathematicsRiya states, “The sum of any two irrational numbers is always irrational.” Which example proves her statement wrong?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsWhich is an example of a non-terminating non-repeating decimal?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsWhat type of number is (1+\sqrt{2})?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsReema says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which statement correctly explains her error?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsWhat is the value of \(\left(\frac{\sqrt{12}}{\sqrt{3}}\right)\)?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsRavi wrote that \(0.101001000100001\ldots\) is a rational number because its digits follow an increasing pattern. What is the correct correction to Ravi’s statement?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsRiya says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the correct evaluation of Riya’s statement?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsA student claims that every number with a non-terminating decimal expansion is irrational. Which of the following examples disproves the claim?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsMeena says that every non-terminating decimal is irrational. Which example proves her statement wrong?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsWhat type of number is 3.14?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion never terminates. Which statement correctly identifies the student's error?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsA student claims that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. What is the correct correction?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsRiya says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion does not terminate. Which is the correct evaluation of Riya’s statement?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsHow is the decimal (0.123456789101112\ldots) considered?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsWhich of these numbers is not irrational?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsWhat type of number is (\sqrt{\frac{2}{9}})?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsWhat is (\sqrt{\frac{4}{9}}) equal to?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsWhat type of number is (9-\sqrt{7})?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsWhat type of number is (2+\sqrt{5})?Class 9Number SystemsIrrational numbersLevel 17Easy MathematicsWhat is (\sqrt{2}\times\sqrt{3}) equal to?Class 9Number SystemsIrrational numbersLevel 17Easy