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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।

MathematicsIf (q=7-\sqrt{11}), what type of number is (q)?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat is the product of (10+\(\sqrt{29}\)) and (10-\(\sqrt{29}\))?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsA student says that every non-terminating decimal is irrational. Which example shows the error in this statement?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhich is the rationalised form of (\frac{4}{\sqrt{5}+1})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsRina says, “The sum of two irrational numbers is always irrational.” What is the correct evaluation of her statement?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsReena says that the sum of two irrational numbers is always irrational. Which of the following examples correctly shows the error in her statement?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat is the value of (\sqrt{5}(\sqrt{45}+\sqrt{80}))?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhat is the result of (11\sqrt{3}-4\sqrt{3})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsA student says, “Every non-terminating decimal expansion is irrational.” Which of the following examples proves this statement wrong?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhich is the simplified form of √392?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsWhich statement is correct about (\sqrt{13}+\sqrt{17})?Class 9Number SystemsIrrational numbersLevel 15Medium MathematicsReema says that the sum of two irrational numbers is always irrational. Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersLevel 15Medium 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