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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।

MathematicsWhich is the simplified form of (\sqrt{80}+\sqrt{125})?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student claims, “The sum of any two irrational numbers is always irrational.” Which example proves the claim wrong?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat type of number is the decimal (2.303003000300003\ldots)?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich is the simplified form of (\sqrt{75}-\sqrt{12})?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsRavi said, “If the decimal expansion of a number is non-terminating, then it must be irrational.” What is the flaw in Ravi’s statement?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsFor a natural number \(n\), what is the correct criterion for \(\sqrt{n}\) to be irrational?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student says that the sum of two irrational numbers is always irrational. Which example proves the statement false?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student says that the product of a non-zero rational number and an irrational number is always irrational. Which is the best reason why the statement is correct?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich is the simplified form of (\sqrt{32}+\sqrt{18})?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsIf \((x=\sqrt{7}+3)\), what type of number is \((x-3)\)?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich option is an equal form of an irrational number with a rationalised denominator?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhat is the simplified form of (\sqrt{5}(2\sqrt{5}-3\sqrt{20}))?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the correct evaluation of the student's statement?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhat is the simplified value of (\frac{\sqrt{98}+\sqrt{50}}{\sqrt{2}})?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsIf (r=\sqrt{15}-\sqrt{6}) and (s=\sqrt{15}+\sqrt{6}), what is the value of (rs)?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhich option shows correct rationalisation of the denominator?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsRiya says, “Any number with an infinite decimal expansion must be irrational.” Which example proves Riya’s statement wrong?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhich is the simplified form of \((\sqrt{2}+\sqrt{32})\)?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsReema says that the number \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. What is the correct evaluation of Reema’s statement?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhat is the simplified form of (2\sqrt{5}+3\sqrt{20})?Class 9Number SystemsIrrational numbersLevel 13Medium