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Rationalization

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

MathematicsWhich option is the rationalized form of (\frac{1}{\sqrt{5}+\sqrt{2}})?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (x=2+\sqrt{3}), what is the value of (x^2+\frac{1}{x^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 MathematicsIf (x=\sqrt{6}+\sqrt{2}) and (y=\sqrt{6}-\sqrt{2}), what is the simplified form of (\frac{x}{y})?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsWhich option is equal to the simplified form of (\frac{2+\sqrt{3}}{2-\sqrt{3}})?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsIf (x=\sqrt{5}+\sqrt{3}), what is the value of (x-\frac{2}{x})?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsIf (x=2+\sqrt{3}), what is the value of (x+\frac{1}{x})?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsIf (x=\sqrt{3}+\sqrt{2}), which is the rationalized form of (\frac{1}{x})?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsIf (x=\frac{1}{\sqrt{6}-\sqrt{5}}), what is (x) equal to?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsWhich number is equal to (\frac{2}{\sqrt{2}+1})?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsIf (x=2-\sqrt{3}), what is the rationalized form of (\frac{1}{x})?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsWhich option is the rationalized form of (\frac{3}{2+\sqrt{5}})?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsIf (x=\frac{2}{\sqrt{5}}), what is the nature of (x)?Class 10Real NumbersIrrational numbersLevel 14Hard MathematicsWhich option is the rationalized form of (\frac{1}{\sqrt{3}})?Class 10Real NumbersIrrational numbersLevel 14Hard