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

MathematicsWhat is the value of ( \sqrt{7}(4+\sqrt{7}) )?Class 9Number SystemsReal NumbersLevel 3Medium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion contains only the digits 0 and 1. Which statement correctly explains the student's error?Class 9Number SystemsReal NumbersLevel 3Medium MathematicsRavi says that \(\frac{7}{24}\) is an irrational number because its decimal expansion is non-terminating. What is the error in Ravi's statement?Class 9Number SystemsReal NumbersLevel 3Medium MathematicsWhat is the simplest form of \(\sqrt{432}\)?Class 9Number SystemsReal NumbersLevel 3Medium MathematicsWhat is obtained by simplifying √363?Class 9Number SystemsReal NumbersLevel 1Easy MathematicsWhat is the simplified surd form of \(\sqrt{320}\)?Class 9Number SystemsReal NumbersLevel 3Medium MathematicsWhat is the simplified form of √242 − √128?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 2Medium MathematicsWhat is the rationalised form of ( \frac{1}{5+2\sqrt{6}} )?Class 9Number SystemsReal NumbersLevel 2Medium MathematicsIf \(x=-8\), what is the value of \(\sqrt{x^2}+x\)?Class 9Number SystemsReal NumbersLevel 2Medium MathematicsWhat is the value of \(\sqrt{(-9)^2}\) in the real number system?Class 9Number SystemsReal NumbersLevel 2Medium MathematicsWhat is the value of \(\left|\sqrt{25}-\sqrt{100}\right|\)?Class 9Number SystemsReal NumbersLevel 2Medium MathematicsA student writes: \(\sqrt{2}+\sqrt{8}=\sqrt{10}\). Which is the correct evaluation of this statement?Class 9Number SystemsReal NumbersLevel 2Medium MathematicsWhat will be the denominator after rationalising ( \frac{\sqrt{7}+2}{\sqrt{7}-2} )?Class 9Number SystemsReal NumbersLevel 2Medium MathematicsWhat is the value of (3 + √2)/(3 − √2) after rationalising?Class 9Number SystemsReal NumbersLevel 2Hard MathematicsWhat is the product of \(3+\sqrt{14}\) and \(3-\sqrt{14}\)?Class 9Number SystemsReal NumbersLevel 2Medium MathematicsWhat type of number is \(\sqrt{3}\times\sqrt{21}\)?Class 9Number SystemsIrrational numbersLevel 2Medium MathematicsA student considers the number \(0.101001000100001\ldots\) rational because its decimal expansion does not terminate. What is the correct conclusion about this number?Class 9Number SystemsReal NumbersLevel 2Medium MathematicsA student calls the number \(0.101001000100001\ldots\) rational because it contains only the digits 0 and 1. Which conclusion about this number is correct?Class 9Number SystemsReal NumbersLevel 2Medium MathematicsA square has a side length of 5 cm. What type of number is the length of its diagonal?Class 9Number SystemsReal NumbersLevel 2Medium MathematicsA square tile has a side length of 1 cm. According to the Pythagorean theorem, its diagonal is \(\sqrt{2}\) cm. Which statement about this length is correct?Class 9Number SystemsReal NumbersLevel 2Medium