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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।

MathematicsWhat is the simplest rationalized form of (\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}})?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsWhat is the rationalized form of (\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}})?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsWhich option is the correct multiplicative inverse of (2+\sqrt{3})?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf (x=2+\sqrt{7}), what is the value of (x+\frac{1}{x})?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIn which option is the correct conjugate chosen to rationalize an irrational denominator?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf \(x=4-\sqrt{15}\), then \(\frac{1}{x}\) is equal to which expression?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsWhat is the rationalized form of (\frac{3}{\sqrt{13}-2})?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf (x=\sqrt{13}+\sqrt{12}), then (\frac{1}{x}) is equal to which expression?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsWhat is the rationalized form of (\frac{2}{\sqrt{11}-3})?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsWhat is the rationalized form of (\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}})?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (\frac{1}{\sqrt{7}+\sqrt{6}}) is rationalized, what is its value?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (x=3+\sqrt{10}), what is the value of (x+\frac{1}{x})?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (x=2-\sqrt{3}), then (\frac{1}{x}) is equal to which expression?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsWhat is the rationalized form of 1/(√5 − 2)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf \(r=\sqrt{2}+\sqrt{3}\), what is the simplified form of \(r+\dfrac{1}{r}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option correctly writes (\frac{2}{\sqrt{5}+1}) with a rational denominator?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhich option gives the correct form and type of (\sqrt{2}+\frac{1}{\sqrt{2}})?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsWhich option gives the correct value and type of ((\sqrt{3}+1)(\sqrt{3}-1))?Class 10Real NumbersIrrational numbersLevel 15Expert MathematicsIf (a=\sqrt{3}+\sqrt{2}) and (b=\sqrt{3}-\sqrt{2}), what is the value of (\frac{a-b}{a+b})?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (x=5-\sqrt{24}), which is the correct form of (\frac{1}{x})?Class 10Real NumbersIrrational numbersLevel 14Expert