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Conjugate

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

MathematicsWhich form is obtained by rationalising the denominator of (\dfrac{3}{2-\sqrt{3}})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Hard 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 MathematicsIf (\frac{1}{\sqrt{7}+\sqrt{6}}) is rationalized, what is its value?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (x=\frac{1}{\sqrt{5}-2}), what is the simplified form of (x)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf (x=3+\sqrt{8}), what is (\frac{1}{x}) equal to?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf one zero of (p(x)=x^2-2x-2) is (1+\sqrt{3}), what is the other zero?Class 10PolynomialsIrrational numbers and real numbersLevel 25Expert MathematicsWhich option is the rationalized form of (\frac{1}{5-\sqrt{6}})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf \(a=\sqrt{7}+\sqrt{2}\) and \(b=\sqrt{7}-\sqrt{2}\), what is the value of \(ab\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option is the simplified form of \(\left(\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}\right)\)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf (x=2+\sqrt{3}), which equation is true?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsIf (m=\frac{1}{\sqrt{5}+\sqrt{2}}), what is the simplified form of (m)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option is the value of ((\sqrt{13}+\sqrt{12})(\sqrt{13}-\sqrt{12}))?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard 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 describes the nature of ((5+\sqrt{6})(5-\sqrt{6})+\sqrt{24})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf (p=2+\sqrt{3}), what is (\frac{1}{p}) equal to?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsWhich option is the rationalized form of (\frac{1}{3+\sqrt{5}})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsIf (a=3+\sqrt{7}) and (b=3-\sqrt{7}), what is the value of (a^2+b^2)?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf (p=7+\sqrt{11}) and (q=7-\sqrt{11}), what is the value of (pq)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsWhich of the following is the value of ((\sqrt{10}+\sqrt{5})(\sqrt{10}-\sqrt{5}))?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium