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Conjugates

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{17}+\sqrt{13}}{\sqrt{17}-\sqrt{13}})?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIf (\alpha+\beta=18) and (\alpha\beta=74), which conjugate irrational pair is possible?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsWhich option gives the correct value of 1/(√10 − 3)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 27Medium MathematicsIf \(x=3+\sqrt{8}\), which quadratic polynomial can have \(x\) as a zero?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert 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 α = 5 + 2√6 and β = 5 − 2√6, what is αβ?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsIf (\alpha=7+\sqrt{6}) and (\beta=7-\sqrt{6}), what is (\alpha^2+\beta^2)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsIn which option is the product of two irrational numbers rational?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 \(a=\sqrt{13}+\sqrt{6}\) and \(b=\sqrt{13}-\sqrt{6}\), what is the value of \(ab\)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Expert MathematicsWhat is the rationalized form of (\frac{2}{\sqrt{11}-3})?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (x=5+2\sqrt{6}), which quadratic polynomial with rational coefficients can have (x) as a zero?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 MathematicsWhich option has all rational coefficients and zeroes (6+\sqrt{11}) and (6-\sqrt{11})?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (\alpha) and (\beta) are zeroes of a quadratic polynomial where (\alpha+\beta=8) and (\alpha\beta=11), which are the possible zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIf (\alpha=4+\sqrt{15}) and (\beta=4-\sqrt{15}), what is (\alpha+\beta+\alpha\beta)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsIn which option is the sum of two irrational numbers rational?Class 10PolynomialsIrrational numbers and real numbersLevel 26Expert MathematicsWhat is the rationalized form of 1/(√5 − 2)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard