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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।

MathematicsWhich value is greater than \(\frac{23}{6}\) and less than \(\sqrt{15}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 51Medium MathematicsIf x=√72 on the number line, what is the correct simplified form of x?Class 10PolynomialsIrrational numbers and real numbersLevel 50Easy MathematicsIf α = 5 + 2√6 and β = 5 − 2√6, what is αβ?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsIf the zeroes of p(x) = x² − 2kx + 20 are k + √5 and k − √5, what is the positive value of k?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard MathematicsIf x = √8 − √2, what is x equal to?Class 10PolynomialsIrrational numbers and real numbersLevel 27Easy MathematicsIf the zeroes are 6 + √5 and 6 − √5, what are their sum and product respectively?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium MathematicsWhat is the rationalized form of 1/(√5 − 2)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf x = √5 + √3, then what type of number is x²?Class 10PolynomialsIrrational numbers and real numbersLevel 28Medium MathematicsWhich polynomial has rational coefficients and zeroes 1 + √2 and 1 − √2?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard MathematicsIf p(x) = x³ − 2x, what is p(√2)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Medium MathematicsIf x = √2 + √3, what is the correct form of x²?Class 10PolynomialsIrrational numbers and real numbersLevel 26Medium MathematicsIf x = √3, what is the value of x² − 3?Class 10PolynomialsIrrational numbers and real numbersLevel 28Easy MathematicsIf p(x)=x^2−6√2x+17, what are the sum and product of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsIf p(x)=x^2−2x−3√2, what does the constant term tell about the zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsIf the zeroes of x^2+px−3 are 2+√7 and 2−√7, what is p?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsIf p(x)=x^2−16, which statement about the type of zeroes is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 25Easy MathematicsIf the zeroes of x^2−2x+m are 1+√6 and 1−√6, what is m?Class 10PolynomialsIrrational numbers and real numbersLevel 25Medium MathematicsIf p(x)=x^2+2x−8 and q(x)=x^2+2x−7, which comparison is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf 2+√13 is one zero of a quadratic polynomial with rational coefficients, what can the coefficient of x be?Class 10PolynomialsIrrational numbers and real numbersLevel 25Hard MathematicsIf p(x)=x^2−2√6x+5, what are the product and sum of its zeroes?Class 10PolynomialsIrrational numbers and real numbersLevel 27Medium