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Conjugate Product

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 (\frac{1+\sqrt{3}}{2}) and (\frac{1-\sqrt{3}}{2}), what is their product?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIn which option is (\sqrt{a}+\sqrt{b}) irrational but ((\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})) rational?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (x=\sqrt{13}+\sqrt{12}), what is the value of (x\cdot(\sqrt{13}-\sqrt{12}))?Class 10Real NumbersIrrational numbersLevel 14Expert MathematicsIf (a=\sqrt{8}+\sqrt{18}) and (b=\sqrt{8}-\sqrt{18}), what is the value of (ab)?Class 10Real NumbersIrrational numbersLevel 13Expert MathematicsIn which option is the number rational?Class 10Real NumbersIrrational numbersLevel 15Hard MathematicsWhat is the value of \(\left(\sqrt{13}-\sqrt{5}\right)\left(\sqrt{13}+\sqrt{5}\right)\)?Class 10Real NumbersIrrational numbersLevel 15Medium MathematicsIf (a=\sqrt{5}+3) and (b=\sqrt{5}-3), what is the value of (ab)?Class 10Real NumbersIrrational numbersLevel 15Medium MathematicsWhat is the value of \(\left(\sqrt{11}-\sqrt{2}\right)\left(\sqrt{11}+\sqrt{2}\right)\)?Class 10Real NumbersIrrational numbersLevel 14Medium MathematicsIf (a=\sqrt{3}+2) and (b=\sqrt{3}-2), what is the value of (ab)?Class 10Real NumbersIrrational numbersLevel 14Medium MathematicsWhat is the value of \(\left(\sqrt{7}-\sqrt{3}\right)\left(\sqrt{7}+\sqrt{3}\right)\)?Class 10Real NumbersIrrational numbersLevel 13Medium MathematicsIf (a=\sqrt{2}+1) and (b=\sqrt{2}-1), what is the value of (ab)?Class 10Real NumbersIrrational numbersLevel 13Medium