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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।

MathematicsIf (n) is a positive integer and (n) is not a perfect square, what type of number will (\sqrt{n}) be?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsRahul says that every number with an infinite decimal expansion is irrational. Which of the following examples proves Rahul’s statement wrong?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat is the simplified form of (\sqrt{147}+\sqrt{75}-\sqrt{27})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsRiya says that the number \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1, and the number of zeros between successive 1s keeps increasing by one. What is the correct evaluation of Riya's statement?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat is the value of (√12 + √3)^2?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat is the rationalised form of (\frac{7}{\sqrt{3}})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsReema says that every non-terminating decimal is an irrational number. Which of the following examples shows the error in her statement?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsA student says that 0.101001000100001… is rational because it contains only the digits 0 and 1. What is the correct evaluation of this statement?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhich number lies between (\sqrt{21}) and (\sqrt{30})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhich is the simplified form of (\sqrt{162}+\sqrt{72})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat is the value of \(\left(\frac{\sqrt{108}}{\sqrt{3}}\right)\)?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat type of number is the decimal (0.404004000400004\ldots)?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat is the simplified form of (\sqrt{7}+\sqrt{28}+\sqrt{63})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhich is the simplified form of (\sqrt{98}-\sqrt{50})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsReema claims that the sum of two irrational numbers is always irrational. Which of the following examples disproves her claim?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsRiya says that \(\sqrt{n}\) is irrational for every natural number n. Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat is obtained by rationalising 1/(√6 + 1)?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsA student writes the number \(0.101001000100001\ldots\), in which the number of zeros before each successive 1 keeps increasing. Which statement about this number is correct?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhich is the simplified form of (\sqrt{48}+\sqrt{27})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsAman called the decimal 0.101001000100001... a rational number because it contains only the digits 0 and 1. What is the error in Aman’s conclusion?Class 9Number SystemsIrrational numbersLevel 15Medium