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Irrational Numbers

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

MathematicsWhich is the simplified form of (\sqrt{162}+\sqrt{98}-\sqrt{50})?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsWhat is the value of √(4 + √7) × √(4 + √7)?Class 9Number SystemsIrrational numbersLevel 14Easy MathematicsIf an irrational number is added to a rational number, what will the resulting number always be?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsWhat is the rationalised form of (\frac{3}{\sqrt{8}+\sqrt{5}})?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsWhat is the value of \(\sqrt{3}\left(\sqrt{75}-\sqrt{27}\right)\)?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsA student claims that the quotient of any two irrational numbers is always irrational. Which of the following calculations conclusively proves the claim wrong?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsWhat is the value of ((\sqrt{20}+\sqrt{45})^2)?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsWhich is the rationalised form of (\frac{4}{\sqrt{10}-\sqrt{6}})?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsIf u = √125 − √45 and v = √5, what is the value of u − v?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich statement is definitely true about (\sqrt{8+\sqrt{15}})?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsIf \(x\) is an irrational number and \(r\) is a rational number, which of the following will always be irrational?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsIf x = √5 + √2 and y = √5 − √2, what is the value of x/y?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the simplified form of (\frac{\sqrt{3}+1}{\sqrt{3}-1})?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsA student claims that the number 0.101001000100001... is rational because it contains only the digits 0 and 1. What is the correct evaluation of this claim?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsWhat is the value of (\sqrt{5+\sqrt{6}}\times\sqrt{5+\sqrt{6}})?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsIf (p=\frac{1}{\sqrt{7}+2}), which is the simplified form of (p)?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsWhat is (\sqrt{108}-\sqrt{48}+\sqrt{12}) equal to?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsA student says that the product of any two irrational numbers is always irrational. Which option correctly evaluates this statement using a a a ?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsWhich is the simplified form of (\frac{3+\sqrt{2}}{3-\sqrt{2}})?Class 9Number SystemsIrrational numbersLevel 14Hard MathematicsWhich of the following statements is always true, where a rational number may also be zero?Class 9Number SystemsIrrational numbersLevel 14Hard