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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।

MathematicsWhat is the value of (√18 + √50)/√8?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsIf \(x\) is an irrational number, which of the following expressions will be irrational in every case?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsLet \(x\) be an irrational number and \(r\) be a rational number. Which of the following expressions is always irrational?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsWhat is the value of ((\sqrt{28}+\sqrt{63})^2)?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsIf (P=\sqrt{242}+\sqrt{50}-\sqrt{98}), what is (P) equal to?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsIf (r=\sqrt{7}+\sqrt{2}) and (s=\sqrt{7}-\sqrt{2}), what is the value of (r^2-s^2)?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsWhat is the value of (\frac{\sqrt{72}+\sqrt{128}}{\sqrt{2}})?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsLet \(x\) be an irrational number and \(r\) be a non-zero rational number. Which of the following expressions must be irrational?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsWhat is the simplified form of (\sqrt{300}-\sqrt{108}+\sqrt{75})?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsLet \(a\) and \(b\) be rational numbers, \(b\ne0\), and let \(m\) be a natural number that is not a perfect square. What type of number is \(a+b\sqrt{m}\)?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsA student says, “The product of two irrational numbers is always irrational.” Which example disproves this statement?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsWhich number definitely lies between (\sqrt{7}) and (\sqrt{8})?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsLet \(x\) be an irrational number and \(r\) be a rational number. Which of the following expressions will always be irrational?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsA student claims, “The sum of two irrational numbers is always irrational.” Which of the following pairs is a counterexample to this claim?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsWhich of the following statements correctly identifies the decimal expansion of an irrational number?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsIf y = √8 + √18, what is the value of y/√2?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsIf a rectangle has length (\sqrt{14}+\sqrt{5}) and breadth (\sqrt{14}-\sqrt{5}), what will be its area?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsWhat is the square of \(\sqrt{10+\sqrt{21}}\) equal to?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsWhich of the following statements is necessarily true for every irrational number \(x\)?Class 9Number SystemsIrrational numbersLevel 13Expert MathematicsIf (t=\sqrt{17}+4), what is the value of (t+\frac{1}{t})?Class 9Number SystemsIrrational numbersLevel 13Expert