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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 is the rationalised form of (\frac{5}{\sqrt{6}-1})?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsIf u = √80 − √45 and v = √5, what is the value of u + v?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhich statement is definitely true about (\sqrt{6+\sqrt{11}})?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsA student says, “The product of any two irrational numbers is always irrational.” Which is the correct evaluation of the statement?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsWhich option has an irrational value?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsIf (x=\sqrt{3}+\sqrt{2}) and (y=\sqrt{3}-\sqrt{2}), what is the value of (\frac{x}{y})?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsWhat is the simplified form of (\frac{3+\sqrt{5}}{3-\sqrt{5}})?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsWhat is the value of ((\sqrt{5}+\sqrt{2})^2-(\sqrt{5}-\sqrt{2})^2)?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsIf \(x\) is an irrational number, which of the following statements is not necessarily true?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsWhat is the value of (\frac{\sqrt{72}+\sqrt{50}}{\sqrt{2}})?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsWhat is the simplified form of (\sqrt{48}+\sqrt{75}-\sqrt{27})?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsIf \(x\) is an irrational number, which of the following expressions will always be a rational number?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsWhich of the following expressions can be rational for an irrational number \(x\)?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsA student examines the number \(x=0.101001000100001\ldots\) and draws a conclusion about its type. Which of the following conclusions is correct?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsIf x = 1/(√2 + 1), what is the value of x + √2?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsIf m = √8 + √18 and n = √50, what is the value of m − n?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsHow can (\sqrt{3+\sqrt{5}}) be identified according to the given statements?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsA student claims that the sum of two irrational numbers is always irrational. Which example shows the error in this claim?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsWhat is (\sqrt{45}+\sqrt{20}-\sqrt{80}) equal to?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsIf \(x\) is an irrational number, which of the following numbers will always be irrational?Class 9Number SystemsIrrational numbersLevel 13Hard