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Conjugate Surds

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

MathematicsIf the zeroes are 6 + √5 and 6 − √5, what are their sum and product respectively?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsWhich polynomial has rational coefficients and zeroes 1 + √2 and 1 − √2?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsWhich option is the value of ((√15+√6)(√15−√6))?Class 10Real NumbersIrrational numbersLevel 27Easy MathematicsWhich option correctly gives the sum and product of (2+√3) and (2−√3)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Medium MathematicsIf (x=5-\sqrt{24}), which is the correct form of (\frac{1}{x})?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsWhich option is the rationalized form of (\frac{1}{\sqrt{5}+\sqrt{2}})?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIn which option is (x) irrational but (x+\frac{1}{x}) rational?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (x=\sqrt{5}+\sqrt{2}) and (y=\sqrt{5}-\sqrt{2}), what is the value of (x^2+y^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{2}+\sqrt{5}) and (y=\sqrt{5}-\sqrt{2}), what is the value of (xy)?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsWhich option correctly describes the nature of ((\sqrt{11}+\sqrt{3})(\sqrt{11}-\sqrt{3}))?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsIf (a=\sqrt{2}+\sqrt{3}) and (b=\sqrt{3}-\sqrt{2}), what is the value of (ab)?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsWhich option is the rationalized form of (\frac{3}{2+\sqrt{5}})?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsIf (a=5+\sqrt{7}) and (b=5-\sqrt{7}), what is the value of (ab)?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsIf (a=\sqrt{3}+2) and (b=\sqrt{3}-2), what is the nature of (ab)?Class 10Real NumbersIrrational numbersLevel 14Hard