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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 statement is correct about (\sqrt{3}+\sqrt{27}) and (\sqrt{48})?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsRiya claims that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which statement correctly explains Riya’s error?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsIf the area of a square is (18) square units, what will be the simplified form of its side?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhat is the value of (√20 ÷ √2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 13Medium MathematicsWhat type of number is (\sqrt{2}\times\sqrt{8})?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsIf (p=4+\sqrt{5}), what type of number is (p)?Class 9Number SystemsIrrational numbersLevel 13Medium 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 13Medium MathematicsWhat is the sum of \((7+\sqrt{13})\) and \((7-\sqrt{13})\)?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhich is the rationalised form of (\frac{3}{\sqrt{2}+1})?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhat is the simplified form of \((\sqrt{2}\times(3\sqrt{2}+1))\)?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsA 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 13Medium MathematicsWhat is the value of \(\sqrt{3}(\sqrt{3}+\sqrt{12})\)?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsNikhil claims that every non-terminating decimal expansion is irrational. Which of the following numbers shows the error in his claim?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhich option is a non-terminating and repeating decimal?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. Which conclusion is correct?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhich is the simplified form of √200?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 13Medium MathematicsWhich statement is correct about (\sqrt{2}+\sqrt{3})?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 conclusion?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsIf (n) is not a perfect square and (n>0), what type of number will (\sqrt{n}) generally be?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsA student says, “Every non-terminating decimal is irrational.” Which of the following examples proves the statement wrong?Class 9Number SystemsIrrational numbersLevel 13Medium