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Number Systems

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

MathematicsRavi claims that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. What is the correct evaluation of his claim?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhat is the sum of \((7+\sqrt{13})\) and \((7-\sqrt{13})\)?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhich is the rationalised form of (\frac{3}{\sqrt{2}+1})?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhat is the simplified form of \((\sqrt{2}\times(3\sqrt{2}+1))\)?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsA student calls the number \(0.101001000100001\ldots\) rational because it contains only the digits 0 and 1. What is the correct conclusion?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhat is the value of \(\sqrt{3}(\sqrt{3}+\sqrt{12})\)?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsNikhil claims that every non-terminating decimal expansion is irrational. Which of the following numbers shows the error in his claim?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhich option is a non-terminating and repeating decimal?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which conclusion is correct?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhich is the simplified form of √200?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 13MediumMathematicsWhich statement is correct about (\sqrt{2}+\sqrt{3})?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the correct conclusion?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsIf (n) is not a perfect square and (n>0), what type of number will (\sqrt{n}) generally be?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsA student says, “Every non-terminating decimal is irrational.” Which of the following examples proves the statement wrong?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhat is the simplified form of (\sqrt{28}+\sqrt{63}-\sqrt{7})?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhat is the irrational part of (4 + √6)?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsWhich option has a rational value?Class 9Number SystemsRational numbersLevel 13MediumMathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the student's error?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsRiya says that \(0.1010010001\ldots\) 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 13MediumMathematicsWhich option represents an irrational number?Class 9Number SystemsIrrational numbersLevel 13Medium

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