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Irrational Numbers And Real Numbers

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

MathematicsIf p(x)=x^2−(√2+√3)x+√6, what are the zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf p(x)=5x^2-5, what are its zeroes and their type?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsIf p(x) = x² + 6x + 6, what is the correct classification of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf p(x) = x² − 2√2x + 2, which is the correct factorized form of p(x)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf the zeroes of p(x) = x² − k are irrational real, which condition on k is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf the zeroes of x² − 4x + r are to be real and irrational, what happens when r = 2?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf p(x) = x² + 6x + 7, what type of zeroes does it have?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf √2 and √8 are zeroes of a quadratic polynomial, what is the sum of the zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf the sum of zeroes is 2√5 and the product is 4, which is a monic quadratic polynomial?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf p(x) = 2x² − 4√2x + 4, what is the sum of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf α = √3 + 1 and β = √3 − 1, what is αβ?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf p(x) = 3x² − 12x + 6, what is the nature of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich option is the value of (\sqrt{2}\times(\sqrt{18}-\sqrt{8}))?Class 10PolynomialsIrrational numbers and real numbersLevel 25Easy MathematicsWhich option is the ascending order of (\sqrt{48}), (\sqrt{75}), (\sqrt{108})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Easy MathematicsWhich option is a rational number satisfying (\sqrt{50}<x<\sqrt{72})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsWhich option is the value of (4\sqrt{3}+3\sqrt{12}-2\sqrt{75})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Easy MathematicsIf (x=2+\sqrt{3}), which equation is true?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsWhich option is the rationalized form of (\frac{1}{3+\sqrt{5}})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsIf (x=\sqrt{5}+\sqrt{2}), what type of number is (x^2-2\sqrt{10})?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsWhich option is an irrational number between (10) and (11)?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium