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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 rationalised form of (\frac{5}{\sqrt{29}+2})?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsRiya claims that \(0.101001000100001\ldots\) is rational because only the digits 0 and 1 occur in it. Which is the correct refutation of her claim?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsWhich of the following expressions represents an irrational number?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsWhat is the value of ((\sqrt{44}+\sqrt{99})^2)?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsIf (P=\sqrt{363}+\sqrt{108}-\sqrt{192}), what is (P) equal to?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsWhich is the rationalised form of (\frac{8}{\sqrt{18}-\sqrt{10}})?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsIf (r=\sqrt{13}+\sqrt{7}) and (s=\sqrt{13}-\sqrt{7}), what is the value of (r^2-s^2)?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsWhat is the value of (\frac{\sqrt{200}+\sqrt{72}}{\sqrt{2}})?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsIf r is an irrational number and q is a rational number, which of the following expressions will always be irrational?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsWhat is the value of (\frac{1}{\sqrt{7}+\sqrt{5}}+\frac{1}{\sqrt{7}-\sqrt{5}})?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsWhat is the simplified form of (\sqrt{432}-\sqrt{192}+\sqrt{48})?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsIf \(r\) is a rational number and \(x\) is an irrational number, which of the following statements is always true?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsLet \(p\) be a rational number and \(x\) be an irrational number. Which of the following statements is always true?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsWhich number definitely lies between (\sqrt{18}) and (\sqrt{20})?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsLet \(a\) be a non-zero rational number and \(b\) be an irrational number. Which of the following statements is always true?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsWhat is the rationalised form of 3/(√17 + √8)?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich of the following statements is necessarily true?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsWhat is the value of \(\sqrt{7}\left(\sqrt{175}-\sqrt{63}\right)\)?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsA student claims that the product of two irrational numbers is always irrational. Which of the following examples disproves this claim?Class 9Number SystemsIrrational numbersLevel 14Expert MathematicsWhich is the simplified form of (\frac{\sqrt{6}-\sqrt{2}}{\sqrt{6}+\sqrt{2}})?Class 9Number SystemsIrrational numbersLevel 14Expert