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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।

MathematicsWhich statement correctly describes the decimal expansion of an irrational number?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student says, “The sum of two irrational numbers is always irrational.” Which of the following examples proves this statement wrong?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsRiya claims that every non-terminating decimal is irrational. Which of the following examples proves her claim wrong?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student writes the number \(0.101001000100001\ldots\), in which the number of zeros between successive 1s keeps increasing. Which statement about this number is correct?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich option will have a non-terminating non-repeating decimal expansion?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the simplified form of (3\sqrt{7}+2\sqrt{28})?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student calls the number \(0.101001000100001\ldots\) rational because its decimal expansion is infinite. Which conclusion is correct?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the rationalised form of (\frac{1}{4-\sqrt{7}})?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsIf the area of a square is (50) square units, what will be the simplified form of its side?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the value of \((\sqrt{54}\div\sqrt{6})\)?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsTo construct (\sqrt{5}) on the number line, which right triangle hypotenuse can be used?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsIf (q=5-\sqrt{2}), what type of number is (q)?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which is the correct evaluation of this statement?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the sum of \((8+\sqrt{17})\) and \((8-\sqrt{17})\)?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich is the rationalised form of (\frac{2}{\sqrt{3}+1})?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the simplified form of √3 × (2√3 + 5)?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsRiya says, “The sum of two irrational numbers is always irrational.” Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the value of (\sqrt{2}(\sqrt{8}+\sqrt{18}))?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the result of (8\sqrt{2}-5\sqrt{2})?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the simplified value of \(\left(\frac{\sqrt{112}}{\sqrt{7}}\right)\)?Class 9Number SystemsIrrational numbersLevel 14Medium