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Irrational Numbers

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (5-\sqrt{6}) is assumed rational then which false conclusion follows?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhich pair gives two irrational numbers but their quotient is rational?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsAfter simplifying (\sqrt{48}) what type of number is it?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhich option is correct about (\frac{1}{\sqrt{3}})?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhich decimal expansion identifies an irrational number?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhich option correctly describes (\sqrt{18}-\sqrt{8})?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (\sqrt{m}) is irrational and (r) is a non-zero rational number then what type is (\frac{\sqrt{m}}{r})?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhat is the relation between (\sqrt{2}) and (\sqrt{8})?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhich product is irrational?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhich statement is correct for (\sqrt{5})?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (x=\sqrt{2}+\sqrt{3}) then what is the correct conclusion about (x)?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (\sqrt{n}) is rational and (n) is a positive integer then what is true about (n)?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhich number is definitely irrational?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (a) is a rational number and (a\neq 0) then which conclusion about (a\sqrt{3}) is correct?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (x=\sqrt{6}+\sqrt{5}), what is the value and nature of (x^3+\frac{1}{x^3})?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (a=\sqrt{6}+\sqrt{2}) and (b=\sqrt{6}-\sqrt{2}), what is the value of (a^2-b^2)?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (x=\frac{\sqrt{10}+\sqrt{6}}{\sqrt{10}-\sqrt{6}}), what is the simplified form of (x)?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (x=\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}-\sqrt{5}}+\frac{\sqrt{7}-\sqrt{5}}{\sqrt{7}+\sqrt{5}}), what is the value and nature of (x)?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsWhich given number is smaller than (2\sqrt{3}) and greater than (\sqrt{11})?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsIn which option is the number irrational and its reciprocal also irrational?Class 10Real NumbersIrrational numbersLevel 13Expert